Page professionnelle de Julien Roth

Julien ROTH
Maître de conférences en mathématiques
Laboratoire d'Analyse et de Mathématiques Appliquées (UMR 8050), UFR de Mathématiques.
Cité Descartes, Bâtiment Copernic, Bureau 4B060
5, boulevard Descartes, Champs sur Marne
77454 Marne-la-Vallée Cedex 2
E-mail: julien.roth[at]univ-eiffel.fr
Tel: 01 60 95 76 81

PUBLICATIONS

A new characterization of the Wulff shape, 2025, soumis.
A rigidity result for slices in warped products, 2025, soumis.
Some new eigenvalue upper bounds for Euclidean hypersurfaces, 2025, soumis.
Recent results for Weingarten and Starshaped Hypersurfaces, Proceedings of the 13th MSJ-SI "Differential Geometry and Integrable Systems", Advanced Studies in Pure Mathematics, à paraître (avec Abhitosh Upadhyay).
Almost starshaped CMC hypersurfaces in space forms are geodesic spheres, Note di Matematica, à paraître.
Extrinsic bounds for the spectrum of a Steklov problem associated with the (p,q)-Laplacian, Electronic Journal of Mathematics, Vol 9 (2025), pp 93-101.
New eigenvalue pinching results for Euclidean domains, Annali di Matematica Pura ed Applicata Vol 204 no 1 (2025), pp 307-326 (avec Abhitosh Upadhyay).
A new characterization of slices in warped products, Contributions to Mathematics. Vol 10 (2024), pp 30-33.
A note on starshaped hypersurfaces with almost constant mean curvature in space forms, Archiv der Mathematik Vol 122 no 1 (2024), pp 109-120 (avec Abhitosh Upadhyay).
Reilly-type upper bounds for the p-Steklov problem on submanifolds Bulletin of the Australian Mathematical Society Vol 108 no 3 (2023), pp 492-503 (avec Abhitosh Upadhyay).
On almost stable linear Weingarten hypersurfaces , Bulletin des Sciences Mathématiques Vol 189 (2023), article 10334 (avec Abhitosh Upadhyay).
Spinorial Representation of submanifolds in a product of space forms , Advances in Applied Clifford Algebras Vol 33 no 5 (2023), article 55 (avec Alicia Basilio, Pierre Bayard et Marie-Amélie Lawn).
On compact embedded Weingarten hypersurfaces in warped products, Journal of Mathematical Analysis and Applications Vol 517 no 1 (2023), article 126593 (avec Abhitosh Upadhyay).
Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds, Annals of Global Analysis and Geometry Vol 62 no 3 (2022), pp 489-505 (avec Fernando Manfio et Abhitosh Upadhyay).
Extrinsic upper bounds for the first eigenvalue of the p-Steklov problem on submanifolds. Communications in Mathematics Vol 30 no 1 (2022), article 5.
Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures , Annals of Global Analysis and Geometry Vol 61 no 1 (2022), pp 89-114 (avec Roger Nakad).
Anisotropic eigenvalues upper bounds for hypersurfaces in weighted Euclidean spaces, Differential Geometry and its Applications Vol 74 (2021), Article 101696 (avec Abhitosh Upadhyay).
On almost stable CMC hypersurfaces in manifolds of bounded sectional curvature , Bulletin of the Australian Mathematical Society. Vol 101 no 2 (2020), pp 333-338 (avec Abhitosh Upadhyay).
Reilly-type inequalities for Paneitz and Steklov eigenvalues. Potential Analysis Vol 53 no 3 (2020), pp 773-798.
Extrinsic eigenvalue estimates for hypersurfaces in product spaces. Mediterranean Journal of Mathematics Vol 17 no 3 (2020), article no 84.
f-biharmonic submanifolds of generalized space forms Results in Mathematics Vol 75 no 1 (2020), article no 20 (avec Abhitosh Upadhyay).
On compact anisotropic Weingarten hypersurfaces in Euclidean space, Archiv der Mathematik Vol 113 no 2 (2019), pp 213-224 (avec Abhitosh Upadhyay).
Explicit rigidity of almost-umbilical hypersurfaces , Asian Journal of Mathematics Vol 22 no 6 (2018), pp 1075-1088 (avec Julian Scheuer).
New stability results for spheres and Wulff shapes. Communications in Mathematics Vol 26 no2 (2018), pp 153-167.
Spinorial Representation of submanifolds in Riemannian space forms , Pacific Journal of Mathematics Vol 291 no 1 (2017), pp 51-80 (avec Pierre Bayard et Marie-Amélie Lawn).
A fundamental theorem for submanifolds of multiproducts of real space forms , Advances in Geometry Vol 17 no 3 (2017), pp 323-338 (avec Marie-Amélie Lawn).
Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space , Annals of Global Analysis and Geometry, Vol 51 no 3 (2017), pp 287-304 (avec Julian Scheuer).
A DDVV inequality for submanifolds of warped products, Bulletin of the Australian Mathematical Society, Vol 95 no 3 (2017), pp 495-499.
Complex and Lagrangian surfaces of the complex projective space via Kählerian Killing Spin^c spinors , Journal of Geometry and Physics Vol 116 (2017), pp 316-329 (avec Roger Nakad).
Biharmonic submanifolds of generalized space forms , Differential Geometry and its Applications Vol 50 (2017), pp 88-104 (avec Abhitosh Upadhyay).
Spinorial Representation of submanifolds in metric Lie groups , Journal of Geometry and Physics Vol 114 (2017), pp 348-374 (avec Pierre Bayard et Berenice Zavala Jiménez).
General Reilly-type inequalities for submanifolds of weighted Euclidean spaces, Colloquium Mathematicum Vol 144 no 1 (2016), pp 127-136.
Lower bounds for the eigenvalues of the Spin^c Dirac operator on manifolds with boundary , Comptes-rendus - Mathématique Vol 354 no 4 (2016), pp 425-431 (avec Roger Nakad).
Lower bounds for the eigenvalues of the Spin^c Dirac operator on submanifolds , Archiv der Mathematik, Vol 104 no 5 (2015), pp 451-461 (avec Roger Nakad).
A new result about almost umbilical hypersurfaces of real space forms, Bulletin of the Australian Mathematical Society, Vol 91 no 1 (2015), pp 145-154.
Spinors and isometric immersions of surfaces into 4-dimensional products, Bulletin of the Belgian Mathematical Society - Simon Stevin Vol 21 no 4 (2014), pp 635-652.
The spinor representation formula in 3 and 4 dimensions , Pure and Applied Differential Geometry, Proceedings of the conference PADGE 2012 (In memory of Franki Dillen), Shaker Verlag, Aachen, 2013, pp 261-282 (avec Pascal Romon).
Upper bounds for the first eigenvalue of the Laplacian in terms of anisiotropic mean curvatures, Results in Mathematics Vol 64 no 3-4 (2013), pp 383-403.
Spinorial representation of surfaces in four-dimensional Space Forms , Annals of Global Analysis and Geometry, Vol 44 no 4 (2013), pp 433-453 (avec Pierre Bayard et Marie-Amélie Lawn).
A note on biharmonic submanifolds of product spaces, Journal of Geometry Vol 104 no 2 (2013), pp 375-381.
A remark on almost umbilical hypersurfaces, Archivum Mathematicum, Vol 49 no 1 (2013), pp 1-7.
The Spin^c Dirac operator on hypersurfaces and applications , Differential Geometry and its Applications, Vol 31 no 1 (2013), pp 93-103 (avec Roger Nakad).
Hypersurfaces of Spin^c manifolds and Lawson Type correspondence, Annals of Global Analysis and Geometry, Vol 42 no 3 (2012), pp 421-442 (avec Roger Nakad).
Skew Killing spinors , Central European Journal of Mathematics, Vol 10 no 3 (2012), pp 844-856 (avec Georges Habib).
Eigenvalue Pinching and Application to the Stability and the Almost Umbilicity of Hypersurfaces , Mathematische Zeitschrift, Vol 271 no 1 (2012), pp 469-488 (Jean-François Grosjean).
Isometric immersions into Lorentzian products, International Journal of Geometric Methods in Modern Physics, Vol 8 no 6 (2011), Art no 1269.
Spinorial characterization of surfaces in pseudo-Riemannian space forms , Mathematical Physics, Analysis and Geometry Vol 14 no 3 (2011), pp 185-195 (avec Marie-Amélie Lawn).
Spinorial characterizations of surfaces into 3-homogenous manifolds, Journal of Geometry and Physics Vol 60 (2010) pp 1045-1061.
Isometric immersions of hypersurfaces into 4-dimensional manifolds via spinors , Differential Geometry and its Applications Vol 28 no.2 (2010) pp 205-219 (avec Marie-Amélie Lawn).
Pincement de la première valeur propre du laplacien pour les hypersurfaces et rigidité, Actes du Séminaire de Théorie Spectrale et Géométrie de l'Institut Fourier, Grenoble, Vol 26 (2009), pp 123-138.
Une nouvelle caractérisation des sphères géodésiques dans les espaces modèles, Comptes-rendus - Mathématique, 347 no.19-20 (2009), pp 1197-1200.
Rigidity results for geodesic spheres in space forms, Differential Geometry, Proceedings of the VIIIth International Colloquium in Differential Geometry, Santiago de Compostela (2009) pp156-163, World Scientific.
Pinching of the first eigenvalue of the Laplacian and almost-Einstein hypersurfaces of Euclidean space, Annals of Global Analysis and Geometry Vol 33 no.3 (2008) pp 293-306.
Extrinsic radius pinching in space forms with nonnegative sectional curvature, Mathematische Zeitschrift Vol 258 no.1 (2008) pp 227-240.
Extrinsic radius pinching for hypersurfaces of space forms, Differential Geometry and its Applications Vol 25 no.5 (2007) pp 485-499.