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]u-pem.fr
Tel: 01 60 95 76 81

PUBLICATIONS

Reilly-type upper bounds for the first eigenvalue of the p-Laplacian and the p-Steklov problem for submanifolds of manifolds with bounded curvature (avec Abhitosh Upadhyay), en préparation.
A note on starshaped hypersurfaces with almost constant mean curvature in space forms (avec Abhitosh Upadhyay), Preprint 2022, 9 pages, soumis.
Spinorial Representation of submanifolds in a product of space forms (avec Alicia Basilio, Pierre Bayard et Marie-Amélie Lawn), Preprint 2022, 33 pages, soumis.
On Weingarten hypersurfaces in warped products (avec Abhitosh Upadhyay). Preprint 2022, 13 pages, soumis.
Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds (avec Fernando Manfio et Abhitosh Upadhyay). à paraître dans Annals of Global Analysis and Geometry.
Extrinsic upper bounds for the first eigenvalue of the p-Steklov problem on submanifolds. Communications in Mathematics Vol 30 no 1 (2022), article 5, 12 pages.
Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures (avec Roger Nakad). Annals of Global Analysis and Geometry Vol 61 no 1 (2022), pp 89-114.
Anisotropic eigenvalues upper bounds for hypersurfaces in weighted Euclidean spaces (avec Abhitosh Upadhyay). Differential Geometry and its Applications Vol 74, Article 101696 (2021).
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, 13 pages .
On almost stable CMC hypersurfaces in manifolds of bounded sectional curvature (avec Abhitosh Upadhyay). Bulletin of the Australian Mathematical Society. Vol 101 no 2 (2020), pp 333-338.
f-biharmonic submanifolds of generalized space forms (avec Abhitosh Upadhyay) Results in Mathematics Vol 75 no 1 (2020), article no 20, 25 pages .
On compact anisotropic Weingarten hypersurfaces in Euclidean space (avec Abhitosh Upadhyay). Archiv der Mathematik Vol 113 no 2 (2019), pp 213-224.
Explicit rigidity of almost-umbilical hypersurfaces (avec Julian Scheuer), Asian Journal of Mathematics Vol 22 no 6 (2018), pp 1075-1088.
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 (avec Pierre Bayard et Marie-Amélie Lawn), Pacific Journal of Mathematics Vol 291 no 1 (2017), pp 51-80.
A fundamental theorem for submanifolds of multiproducts of real space forms (avec Marie-Amélie Lawn), Advances in Geometry Vol 17 no 3 (2017), pp 323-338.
A DDVV inequality for submanifolds of warped products, Bulletin of the Australian Mathematical Society, Vol 95 no 3 (2017), pp 495-499.
Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space (avec Julian Scheuer), Annals of Global Analysis and Geometry, Vol 51 no 3 (2017), pp 287-304.
Complex and Lagrangian surfaces of the complex projective space via Kählerian Killing Spin^c spinors (avec Roger Nakad), Journal of Geometry and Physics Vol 116 (2017), pp 316-329.
Biharmonic submanifolds of generalized space forms (avec Abhitosh Upadhyay), Differential Geometry and its Applications Vol 50 (2017), pp 88-104.
Spinorial Representation of submanifolds in metric Lie groups (avec Pierre Bayard et Berenice Zavala Jiménez), Journal of Geometry and Physics Vol 114 (2017), pp 348-374.
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 (avec Roger Nakad), Comptes-rendus - Mathématique Vol 354 no 4 (2016), pp 425-431.
Lower bounds for the eigenvalues of the Spin^c Dirac operator on submanifolds (avec Roger Nakad), Archiv der Mathematik, Vol 104 no 5 (2015), pp 451-461.
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 (avec Pascal Romon) , Pure and Applied Differential Geometry, Proceedings of the conference PADGE 2012 (In memory of Franki Dillen), Shaker Verlag, Aachen, 2013, pp261-282.
A note on biharmonic submanifolds of product spaces, Journal of Geometry Vol 104 no 2 (2013), pp 375-381.
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 (avec Pierre Bayard et Marie-Amélie Lawn), Annals of Global Analysis and Geometry, Vol 44 no 4 (2013), pp 433-453.
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 (avec Roger Nakad), Differential Geometry and its Applications, Vol 31 no 1 (2013), pp 93-103.
Hypersurfaces of Spin^c manifolds and Lawson Type correspondence (avec Roger Nakad), Annals of Global Analysis and Geometry, Vol 42 no 3 (2012), pp 421-442.
Skew Killing spinors (avec Georges Habib) , Central European Journal of Mathematics (Open Mathematics), Vol 10 no 3 (2012), pp 844-856.
Eigenvalue Pinching and Application to the Stability and the Almost Umbilicity of Hypersurfaces (avec Jean-François Grosjean), Mathematische Zeitschrift, Vol 271 no 1 (2012), pp 469-488.
Isometric immersions into Lorentzian products, International Journal of Geometric Methods in Modern Physics, Vol 8 no 6 (2011), Art no 1269, 22 pages.
Spinorial characterization of surfaces in pseudo-Riemannian space forms (avec Marie-Amélie Lawn), Mathematical Physics, Analysis and Geometry Vol 14 no 3 (2011), pp 185-195.
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 (avec Marie-Amélie Lawn) , Differential Geometry and its Applications Vol 28 no.2 (2010) pp 205-219.
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.
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.
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.

Thèse: Rigidité des hypersurfaces en géométrie riemannienne et spinorielle: aspect extrinsèque et inrtinsèque (128 pages). Thèse sous la direction d'Oussama Hijazi et Jean-François Grosjean (2006)