Julien Roth

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Publications

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ALMOST STARSHAPED CMC HYPERSURFACES IN SPACE FORMS ARE GEODESIC SPHERES

Julien Roth

Note di Matematica, 2025, 45 (1), pp.1-14

Article dans une revue hal-04720034v1
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Extrinsic bounds for the spectrum of a Steklov problem associated with the (p, q)-Laplacian

Julien Roth

Electronic Journal of Mathematics, 2025, 9, pp.93-101. ⟨10.47443/ejm.2025.026⟩

Article dans une revue hal-05045618v1
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A NOTE ON STARSHAPED HYPERSURFACES WITH ALMOST CONSTANT MEAN CURVATURE IN SPACE FORMS

Julien Roth , Abhitosh Upadhyay

Archiv der Mathematik, 2024, 122 (1), pp.109-120

Article dans une revue hal-03707922v1
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Some New Eigenvalue Upper Bounds for Euclidean Hypersurfaces

Julien Roth

Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2024, 204 (1), pp.307-326. ⟨10.1007/s00574-025-00479-y⟩

Article dans une revue hal-04999248v1
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NEW EIGENVALUE PINCHING RESULTS FOR EUCLIDEAN DOMAINS

Julien Roth , Abhitosh Upadhyay

Annali di Matematica Pura ed Applicata, 2024, 204 (1), pp.307-326. ⟨10.1007/s10231-024-01485-5⟩

Article dans une revue hal-04236070v1
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A NEW CHARACTERIZATION OF SLICES IN WARPED PRODUCTS

Julien Roth

Contributions to Mathematics, 2024, 10, pp.30-33

Article dans une revue hal-04720027v1
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SPINORIAL REPRESENTATION OF SUBMANIFOLDS IN A PRODUCT OF SPACE FORMS

Alicia Basilio , Pierre Bayard , Marie-Amélie Lawn , Julien Roth

Advances in Applied Clifford Algebras, 2023, 33 (5), pp.55. ⟨10.1007/s00006-023-01302-x⟩

Article dans une revue hal-04236086v1
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ON ALMOST STABLE LINEAR WEINGARTEN HYPERSURFACES

Julien Roth , Abhitosh Upadhyay

Bulletin des Sciences Mathématiques, 2023, 189, pp.103343. ⟨10.1016/j.bulsci.2023.103343⟩

Article dans une revue hal-04131656v1

REILLY-TYPE UPPER BOUNDS FOR THE p -STEKLOV PROBLEM ON SUBMANIFOLDS

Julien Roth , Abhitosh Upadhyay

Bulletin of the Australian Mathematical Society, In press, pp.1-12. ⟨10.1017/S0004972723000096⟩

Article dans une revue hal-04255867v1
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EXTRINSIC EIGENVALUES UPPER BOUNDS FOR SUBMANIFOLDS IN WEIGHTED MANIFOLDS

Fernando Manfio , Julien Roth , Abhitosh Upadhyay

Annals of Global Analysis and Geometry, 2022, 62 (3), pp.489-505

Article dans une revue hal-03334228v1
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EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

Julien Roth

Communications in Mathematics, In press, Volume 30 (2022), Issue 1, pp.49-61. ⟨10.46298/cm.9282⟩

Article dans une revue hal-02466652v2
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ON COMPACT EMBBEDED WEINGARTEN HYPERSURFACES IN WARPED PRODUCTS

Julien Roth , Abhitosh Upadhyay

Journal of Mathematical Analysis and Applications, 2022, 517 (1), pp.126593

Article dans une revue hal-03682396v1
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Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures

Roger Nakad , Julien Roth

Annals of Global Analysis and Geometry, 2021, 61 (1), pp.89-114. ⟨10.1007/s10455-021-09802-4⟩

Article dans une revue hal-02304263v1

Anisotropic eigenvalues upper bounds for hypersurfaces in weighted Euclidean spaces

Julien Roth , Abhitosh Upadhyay

Differential Geometry and its Applications, 2021, 74, pp.101696. ⟨10.1016/j.difgeo.2020.101696⟩

Article dans une revue hal-04255850v1
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EXTRINSIC EIGENVALUES ESTIMATES FOR HYPERSURFACES IN PRODUCT SPACES

Julien Roth

Mediterranean Journal of Mathematics, 2020, 17 (3), pp.84

Article dans une revue hal-02170872v1
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ON ALMOST STABLE CMC HYPERSURFACES IN MANIFOLDS OF BOUNDED SECTIONAL CURVATURE

Julien Roth , Abhitosh Upadhyay

Bulletin of the Australian Mathematical Society, 2020, 101 (2), pp.333-338

Article dans une revue hal-01995976v1
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f -BIHARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS

Julien Roth , Abhitosh Upadhyay

Results in mathematics = Resultate der Mathematik, 2020, 75 (1), pp.article n˚20

Article dans une revue hal-01459382v2
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REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES

Julien Roth

Potential Analysis, 2019, 53 (3), pp.773 - 798

Article dans une revue hal-01539128v1
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ON COMPACT ANISOTROPIC WEINGARTEN HYPERSURFACES IN EUCLIDEAN SPACE

Julien Roth , Abhitosh Upadhyay

Archiv der Mathematik, 2019, 113 (2), pp.213-224. ⟨10.1007/s00013-019-01315-8⟩

Article dans une revue hal-01985969v1
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EXPLICIT RIGIDITY OF ALMOST-UMBILICAL HYPERSURFACES

Julien Roth , Julian Scheuer

Asian Journal of Mathematics, 2018, 22 (6), pp.1075-1088

Article dans une revue hal-01154555v1
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NEW STABILITY RESULTS FOR SPHERES AND WULFF SHAPES

Julien Roth

Communications in Mathematics, 2018, 26 (2), pp.153-167

Article dans une revue hal-01228821v4
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New stability results for spheres and Wulff shapes

Julien Roth

Communications in Mathematics, 2018, Volume 26 (2018), Issue 2 (2), pp.153 - 167. ⟨10.2478/cm-2018-0012⟩

Article dans une revue hal-03664957v1
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PINCHING OF THE FIRST EIGENVALUE FOR SECOND ORDER OPERATORS ON HYPERSURFACES OF THE EUCLIDEAN SPACE

Julien Roth , Julian Scheuer

Annals of Global Analysis and Geometry, 2017, 51 (3), pp.287-304

Article dans une revue hal-01228823v1
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COMPLEX AND LAGRANGIAN SURFACES OF THE COMPLEX PROJECTIVE PLANE VIA KÄHLERIAN KILLING SPIN c SPINORS

Roger Nakad , Julien Roth

Journal of Geometry and Physics, 2017, 116, pp.316-329

Article dans une revue hal-01338103v1
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Spinorial representation of submanifolds in metric Lie groups

Pierre Bayard , Julien Roth , Berenice Zavala Jimenez

Journal of Geometry and Physics, 2017, 114, pp.348-374. ⟨10.1016/j.geomphys.2016.12.011⟩

Article dans une revue hal-00739665v4
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A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS

Julien Roth

Bulletin of the Australian Mathematical Society, 2017, 95 (3), pp.495-499

Article dans une revue hal-01338102v1
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A FUNDAMENTAL THEOREM FOR SUBMANIFOLDS OF MULTIPRODUCTS OF REAL SPACE FORMS

Marie-Amélie Lawn , Julien Roth

Advances in Geometry, 2017, 17 (3), pp.323-338

Article dans une revue hal-01140769v1
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SPINORIAL REPRESENTATION OF SUBMANIFOLDS IN RIEMANNIAN SPACE FORMS

Pierre Bayard , Marie-Amélie Lawn , Julien Roth

Pacific Journal of Mathematics, 2017, 291 (1), pp.51-80

Article dans une revue hal-01272564v1
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Biharmonic submanifolds of generalized space forms

Julien Roth , Abhitosh Upadhyay

Differential Geometry and its Applications, 2017, 50, pp.88-104. ⟨10.1016/j.difgeo.2016.11.003⟩

Article dans une revue hal-00843201v3
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LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON MANIFOLDS WITH BOUNDARY

Roger Nakad , Julien Roth

Comptes Rendus. Mathématique, 2016, 354 (4), pp.425-431

Article dans une revue hal-01112318v1
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GENERAL REILLY-TYPE INEQUALITIES FOR SUBMANIFOLDS OF WEIGHTED EUCLIDEAN SPACES

Julien Roth

Colloquium Mathematicum, 2016, 144 (1), pp.127-136

Article dans une revue hal-01140763v1
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A new result about almost umbilical hypersurfaces of space forms

Julien Roth

Bulletin of the Australian Mathematical Society, 2015, 91 (1), pp.145-154

Article dans une revue hal-00979206v2
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LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON SUBMANIFOLDS

Roger Nakad , Julien Roth

Archiv der Mathematik, 2015, 104 (5), pp.451-461

Article dans une revue hal-01112320v1
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Spinors and isometric immersions of surfaces in 4-dimensional products

Julien Roth

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014, 21 (4), pp.635-652

Article dans une revue hal-00933532v1
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Upper bounds for the first eigenvalue of the Laplacian in terms of anisiotropic mean curvatures,

Julien Roth

Results in mathematics = Resultate der Mathematik, 2013, 63 (3-4), pp.383-403

Article dans une revue hal-00827340v1
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A note on biharmonic submanifolds of product spaces

Julien Roth

Journal of Geometry, 2013, 104 (2), pp.375-381

Article dans une revue hal-00827336v2
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The Logarithmic Sobolev Constant of The Lamplighter

Evgeny Abakumov , Anne Beaulieu , François Blanchard , Matthieu Fradelizi , Nathaël Gozlan et al.

Journal of Mathematical Analysis and Applications, 2013, 399, pp.576-585. ⟨10.1016/j.jmaa.2012.10.002⟩

Article dans une revue hal-00533572v1
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A Remark on Almost Umbilical Hypersurfaces

Julien Roth

Archivum Mathematicum, 2013, 49 (1), pp.1-7

Article dans une revue hal-00182518v2
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Spinorial representation of surfaces in four-dimensional Space Forms

Pierre Bayard , Marie-Amélie Lawn , Julien Roth

Annals of Global Analysis and Geometry, 2013, 44 (4), pp.433-453

Article dans une revue hal-00807496v1
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The Spinc Dirac operator on hypersurfaces and applications

Roger Nakad , Julien Roth

Differential Geometry and its Applications, 2013, 31 (1), pp.93-103

Article dans une revue hal-00740342v1
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Hypersurfaces of Spinc manifolds and Lawson Type correspondence

Roger Nakad , Julien Roth

Annals of Global Analysis and Geometry, 2012, 42 (3), pp.421-442. ⟨10.1007/s10455-012-9321-5⟩

Article dans une revue hal-00740341v1
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Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces

Jean-Francois Grosjean , Julien Roth

Mathematische Zeitschrift, 2012, 271 (no. 1-2), pp.469-488

Article dans une revue hal-00170114v3
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Skew Killing spinors

Georges Habib , Julien Roth

Central European Journal of Mathematics, 2012, 10 (3), pp.844-856

Article dans une revue hal-00630695v1
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Spinorial characterizations of surfaces into 3-dimensional psuedo-Riemannian space forms

Marie-Amélie Lawn , Julien Roth

Mathematical Physics, Analysis and Geometry, 2011, 14 (3), pp.185-195

Article dans une revue hal-00450968v1
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Isometric immersions into Lorentzian products

Julien Roth

International Journal of Geometric Methods in Modern Physics, 2011, 8 (6), pp 1-22

Article dans une revue hal-00528583v1

Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds

Julien Roth

Journal of Geometry and Physics, 2010, 60 (6-8), pp.1045--1061. ⟨10.1016/j.geomphys.2010.03.007⟩

Article dans une revue hal-00693020v1
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Spinorial Characterization of Surfaces into 3-dimensional homogeneous Manifolds

Julien Roth

Journal of Geometry and Physics, 2010, 60 (6-8), pp.1045-1061

Article dans une revue hal-00156448v1
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Isometric Immersions of Hypersurfaces in 4-dimensional Manifolds via Spinors

Marie-Amélie Lawn , Julien Roth

Differential Geometry and its Applications, 2010, 28 (2), pp.205-219

Article dans une revue hal-00264969v2
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Une nouvelle caractérisation des sphères géodésiques dans les espaces modèles

Julien Roth

Comptes Rendus. Mathématique, 2009, 347 (19-20), pp.1197-1200

Article dans une revue hal-00450979v1
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Pincement de la première valeur propre du laplacien pour les hypersurfaces et rigidité

Julien Roth

Actes du Séminaire de Théorie Spectrale et Géométrie (Grenoble), 2009, 26, pp.123-138

Article dans une revue hal-00327306v1
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Extrinsic radius pinching in space forms of nonnegative sectional curvature

Julien Roth

Mathematische Zeitschrift, 2008, 258 (1), pp.227-240

Article dans une revue hal-00095786v1
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Pinching of the First Eigenvalue of the Laplacian and almost-Einstein Hypersurfaces of the Euclidean Space

Julien Roth

Annals of Global Analysis and Geometry, 2008, 33 (3), pp.293-306. ⟨10.1007/s10455-007-9086-4⟩

Article dans une revue hal-00129398v1
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Extrinsic radius pinching for hypersurfaces of space forms

Julien Roth

Differential Geometry and its Applications, 2007, 25 (5), pp.485-499

Article dans une revue hal-00021278v1
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The spinor representation formula in 3 and 4 dimensions

Pascal Romon , Julien Roth

Conference on Pure and Applied Differential Geometry, Aug 2012, Leuven, Belgium. pp.300

Communication dans un congrès hal-00857015v1
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Rigidity Results for Hypersurfaces in Space Forms

Julien Roth

VIII International Colloquium in Differential Geometry, Jul 2008, Santiago de Compostela, Spain. pp.156-163

Communication dans un congrès hal-00327308v1