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Julien ROTH

Champs-sur-Marne

Bâtiment: Building: Copernic

5 boulevard Descartes
Champs-sur-Marne
77454 Marne-la-Vallée Cedex 2

Bureau: Office: 4B060

julien.roth@univ-eiffel.fr
+33 (0)1 60 95 76 81

Julien ROTH

Maître de conférences en mathématiques

Membre de l'UFR de Mathématiques et du Laboratoire d'Analyse et de Mathématiques Appliquées.

Co-responsable du Master Mathématiques et Applications ( 1ère année)

Responsable de l'équipe Géométrie et courbure du LAMA.

Éditeur associé de la revue Kyungpook Mathematical Journal.

Associate professor in mathematics

Mes dernières références

My latest references

Publications

  • A rigidity result for slices in warped products , preprint 2025.
  • Some new eigenvalue upper bounds for Euclidean hypersurfaces, Bulletin of the Brazilian Mathematical Society, à paraître.
  • 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, Vol 45 no 1 (2025), pp 1-14.
  • 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 Spinc 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 Spinc 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 Spinc 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 Spinc 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 Spinc Dirac operator on hypersurfaces and applications , Differential Geometry and its Applications, Vol 31 no 1 (2013), pp 93-103 (avec Roger Nakad).
  • Hypersurfaces of Spinc 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.