Number of documents

## 45

### Journal articles35 documents

• Julien Roth, Abhitosh Upadhyay. f -BIHARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS. Results in Mathematics, Springer Verlag, 2020, 75 (1), pp.article n˚20. ⟨hal-01459382v2⟩
• Julien Roth, Abhitosh Upadhyay. ON COMPACT ANISOTROPIC WEINGARTEN HYPERSURFACES IN EUCLIDEAN SPACE. Archiv der Mathematik, Springer Verlag, 2019, 113 (2), pp.213-224. ⟨10.1007/s00013-019-01315-8⟩. ⟨hal-01985969⟩
• Julien Roth, Julian Scheuer. EXPLICIT RIGIDITY OF ALMOST-UMBILICAL HYPERSURFACES. Pacific Journal of Mathematics, 2018, 22 (6), pp.1075-1088. ⟨hal-01154555⟩
• Julien Roth. NEW STABILITY RESULTS FOR SPHERES AND THE WULFF SHAPES. Communications in Mathematics, University of Ostrava, 2018, 26 (2), pp.153-167. ⟨hal-01228821v4⟩
• Julien Roth, Abhitosh Upadhyay. Biharmonic submanifolds of generalized space forms. Differential Geometry and Applications, 2017, 50, pp.88-104. ⟨10.1016/j.difgeo.2016.11.003⟩. ⟨hal-00843201v3⟩
• Pierre Bayard, Marie-Amélie Lawn, Julien Roth. SPINORIAL REPRESENTATION OF SUBMANIFOLDS IN RIEMANNIAN SPACE FORMS. Pacific Journal of Mathematics, 2017, 291 (1), pp.51-80. ⟨hal-01272564⟩
• Julien Roth, Julian Scheuer. PINCHING OF THE FIRST EIGENVALUE FOR SECOND ORDER OPERATORS ON HYPERSURFACES OF THE EUCLIDEAN SPACE. Annals of Global Analysis and Geometry, Springer Verlag, 2017, 51 (3), pp.287-304. ⟨hal-01228823⟩
• Julien Roth. A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS. Bulletin of the Australian Mathematical Society, John Loxton University of Western Sydney|Australia 2017, 95 (3), pp.495-499. ⟨hal-01338102⟩
• Roger Nakad, Julien Roth. COMPLEX AND LAGRANGIAN SURFACES OF THE COMPLEX PROJECTIVE PLANE VIA KÄHLERIAN KILLING SPIN c SPINORS. Journal of Geometry and Physics, Elsevier, 2017, 116, pp.316-329. ⟨hal-01338103⟩
• Marie-Amélie Lawn, Julien Roth. A FUNDAMENTAL THEOREM FOR SUBMANIFOLDS OF MULTIPRODUCTS OF REAL SPACE FORMS. Advances in Geometry, De Gruyter, 2017, 17 (3), pp.323-338. ⟨hal-01140769⟩
• Pierre Bayard, Julien Roth, Berenice Zavala Jimenez. Spinorial representation of submanifolds in metric Lie groups. Journal of Geometry and Physics, Elsevier, 2017, 114, pp.348-374. ⟨10.1016/j.geomphys.2016.12.011⟩. ⟨hal-00739665v4⟩
• Julien Roth. GENERAL REILLY-TYPE INEQUALITIES FOR SUBMANIFOLDS OF WEIGHTED EUCLIDEAN SPACES. Colloquium Mathematicum, 2016, 144 (1), pp.127-136. ⟨hal-01140763⟩
• Roger Nakad, Julien Roth. LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON MANIFOLDS WITH BOUNDARY. Comptes Rendus Mathématique, Elsevier Masson, 2016, 354 (4), pp.425-431. ⟨hal-01112318⟩
• Roger Nakad, Julien Roth. LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON SUBMANIFOLDS. Archiv der Mathematik, Springer Verlag, 2015, 104 (5), pp.451-461. ⟨hal-01112320⟩
• Julien Roth. A new result about almost umbilical hypersurfaces of space forms. Bulletin of the Australian Mathematical Society, John Loxton University of Western Sydney|Australia 2015, 91 (1), pp.145-154. ⟨hal-00979206v2⟩
• Julien Roth. Spinors and isometric immersions of surfaces in 4-dimensional products. Bulletin of the Belgian Mathematical Society - Simon Stevin, Belgian Mathematical Society, 2014, 21 (4), pp.635-652. ⟨hal-00933532⟩
• Julien Roth. A Remark on Almost Umbilical Hypersurfaces. Archivum Mathematicum, Masarykova Universita, 2013, 49 (1), pp.1-7. ⟨hal-00182518v2⟩
• Roger Nakad, Julien Roth. The Spinc Dirac operator on hypersurfaces and applications. Differential Geometry and Applications, 2013, 31 (1), pp.93-103. ⟨hal-00740342⟩
• Evgeny Abakumov, Anne Beaulieu, François Blanchard, Matthieu Fradelizi, Nathaël Gozlan, et al.. The Logarithmic Sobolev Constant of The Lamplighter. Journal of Mathematical Analysis and Applications, Elsevier, 2013, 399, pp.576-585. ⟨10.1016/j.jmaa.2012.10.002⟩. ⟨hal-00533572⟩
• Julien Roth. Upper bounds for the first eigenvalue of the Laplacian in terms of anisiotropic mean curvatures,. Results in Mathematics, Springer Verlag, 2013, 63 (3-4), pp.383-403. ⟨hal-00827340⟩
• Pierre Bayard, Marie-Amélie Lawn, Julien Roth. Spinorial representation of surfaces in four-dimensional Space Forms. Annals of Global Analysis and Geometry, Springer Verlag, 2013, 44 (4), pp.433-453. ⟨hal-00807496⟩
• Julien Roth. A note on biharmonic submanifolds of product spaces. Journal of Geometry, Springer Verlag, 2013, 104 (2), pp.375-381. ⟨hal-00827336v2⟩
• Georges Habib, Julien Roth. Skew Killing spinors. Central European Journal of Mathematics, Springer Verlag, 2012, 10 (3), pp.844-856. ⟨hal-00630695⟩
• Jean-Francois Grosjean, Julien Roth. Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces. Mathematische Zeitschrift, Springer, 2012, 271 (no. 1-2), pp.469-488. ⟨hal-00170114v3⟩
• Roger Nakad, Julien Roth. Hypersurfaces of Spinc manifolds and Lawson Type correspondence. Annals of Global Analysis and Geometry, Springer Verlag, 2012, 42 (3), pp.421-442. ⟨10.1007/s10455-012-9321-5⟩. ⟨hal-00740341⟩
• Marie-Amélie Lawn, Julien Roth. Spinorial characterizations of surfaces into 3-dimensional psuedo-Riemannian space forms. Mathematical Physics, Analysis and Geometry, Springer Verlag, 2011, 14 (3), pp.185-195. ⟨hal-00450968⟩
• Julien Roth. Isometric immersions into Lorentzian products. International Journal of Geometric Methods in Modern Physics, World Scientific Publishing, 2011, 8 (6), pp 1-22. ⟨hal-00528583⟩
• Marie-Amélie Lawn, Julien Roth. Isometric Immersions of Hypersurfaces in 4-dimensional Manifolds via Spinors. Differential Geometry and its Applications, Elsevier, 2010, 28 (2), pp.205-219. ⟨hal-00264969v2⟩
• Julien Roth. Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds. Journal of Geometry and Physics, Elsevier, 2010, 60 (6-8), pp.1045--1061. ⟨10.1016/j.geomphys.2010.03.007⟩. ⟨hal-00693020⟩
• Julien Roth. Spinorial Characterization of Surfaces into 3-dimensional homogeneous Manifolds. Journal of Geometry and Physics, Elsevier, 2010, 60 (6-8), pp.1045-1061. ⟨hal-00156448⟩
• Julien Roth. Pincement de la première valeur propre du laplacien pour les hypersurfaces et rigidité. Actes du Séminaire de Théorie Spectrale et Géométrie (Grenoble), 2009, 26, pp.123-138. ⟨hal-00327306⟩
• Julien Roth. Une nouvelle caractérisation des sphères géodésiques dans les espaces modèles. Comptes Rendus Mathématique, Elsevier Masson, 2009, 347 (19-20), pp.1197-1200. ⟨hal-00450979⟩
• Julien Roth. Extrinsic radius pinching in space forms of nonnegative sectional curvature. Mathematische Zeitschrift, Springer, 2008, 258 (1), pp.227-240. ⟨hal-00095786⟩
• Julien Roth. Pinching of the First Eigenvalue of the Laplacian and almost-Einstein Hypersurfaces of the Euclidean Space. Annals of Global Analysis and Geometry, Springer Verlag, 2008, 33 (3), pp.293-306. ⟨hal-00129398⟩
• Julien Roth. Extrinsic radius pinching for hypersurfaces of space forms. Differential Geometry and its Applications, Elsevier, 2007, 25 (5), pp.485-499. ⟨hal-00021278⟩

### Conference papers2 documents

• Pascal Romon, Julien Roth. The spinor representation formula in 3 and 4 dimensions. Conference on Pure and Applied Differential Geometry, Aug 2012, Leuven, Belgium. pp.300. ⟨hal-00857015⟩
• Julien Roth. Rigidity Results for Hypersurfaces in Space Forms. VIII International Colloquium in Differential Geometry, Jul 2008, Santiago de Compostela, Spain. pp.156-163. ⟨hal-00327308⟩

### Preprints, Working Papers, ...7 documents

• Julien Roth. EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS. 2020. ⟨hal-02466652⟩
• Roger Nakad, Julien Roth. Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures. 2019. ⟨hal-02304263⟩
• Julien Roth. EXTRINSIC EIGENVALUES ESTIMATES FOR HYPERSURFACES IN PRODUCT SPACES. 2019. ⟨hal-02170872⟩
• Julien Roth, Abhitosh Upadhyay. ON ALMOST STABLE CMC HYPERSURFACES IN MANIFOLDS OF BOUNDED SECTIONAL CURVATURE. 2019. ⟨hal-01995976⟩
• Julien Roth. REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES. 2017. ⟨hal-01539128⟩
• Evgeny Abakumov, Anne Beaulieu, François Blanchard, Matthieu Fradelizi, Nathaël Gozlan, et al.. Compter et mesurer. Réflexions sur Le souci du nombre dans l'évaluation de la production du savoir scientifique.. 2010. ⟨hal-00533570⟩
• Erwann Aubry, Jean-Francois Grosjean, Julien Roth. Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces. 2010. ⟨hal-00516633v2⟩

### Theses1 document

• Julien Roth. Rigidité des hypersurfaces en géométrie riemannienne et spinorielle: aspect extrinsèque et intrinsèque. Mathématiques [math]. Université Henri Poincaré - Nancy 1, 2006. Français. ⟨NNT : 2006NAN10161⟩. ⟨tel-01748157v2⟩