Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

In progress

• Charged generalized Killing spinors.

Preprints

• S. Raulot. Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge.
• S. Raulot. Positive energy theorems for complete spin initial data with charge. https://hal.science/hal-05263404
• F. El Chami, N. Ginoux, G. Habib, O. Makhoul, S. Raulot. The buckling and clamped plate problems on differential forms, https://hal.science/hal-04823801

Articles in international peer reviewed journals

• S. Raulot. On the ADM mass of critical area-normalized capacitors, Lett. Math. Phys. 116, 3 (2026). https://link.springer.com/article/10.1007/s11005-025-02031-x

• N. Ginoux, G. Habib, S. Raulot.  A Poincaré formula for differential forms and applications, SIGMA Symmetry, Integrability and Geom. Methods Appl. 19 (2023), Paper No. 088, 17 pp. https://www.emis.de/journals/SIGMA/2023/088/

• S. Raulot. Total mean curvature and first Dirac eigenvalue, SIGMA Symmetry, Integrability and Geom. Methods Appl. 19 (2023), Paper No. 029, 14 pp. https://www.emis.de/journals/SIGMA/2023/029/

• S. Raulot. First boundary Dirac eigenvalue and boundary capacity potential, Ann. Henri Poincaré 24 (2023), no. 4, 1245-1264. https://link.springer.com/article/10.1007/s00023-022-01233-6

• O. Hijazi, S. Montiel, S. Raulot. Scalar curvature, spinors, eigenvalues and mass, Perspectives on scalar curvature. Vol. 2, (Edited by Mikhail L. Gromov and H. Blaine Lawson, Jr), 453-487. World Scientific Publishing CO. Pte. Ltd, Hackensack, NJ (2023). https://www.worldscientific.com/doi/10.1142/12644-vol2#t=aboutBook

• S. Raulot. Nonexistence of DEC spin fill-ins, Comptes Rendus. Mathématiques, Tome 360 (2022), pp.1049-1054. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.580...

• S. Raulot. Scalar flat compactifications of Poincaré-Einstein manifolds and applications, Conform. Geom. Dyn. 26 (2022), 46-66. https://www.ams.org/journals/ecgd/2022-26-04/S1088-4173-2022-00371-X/

• S. Raulot. A spinorial proof of the rigidity of the Riemannian Schwarzschild manifold, Classical and Quantum Gravity 38 (2021), no. 8, 085015. https://iopscience.iop.org/article/10.1088/1361-6382/abe4ec/meta

• O. Hijazi, S. Montiel, S. Raulot. The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity, Comm. Math. Phys. 374 (2020), 873-890.  https://link.springer.com/article/10.1007/s00220-019-03545-x

• O. Hijazi, S. Montiel, S. Raulot. An Alexandrov theorem in Minkowski spacetime, Asian J. Math. 23 (2019), no. 6, 933-952. https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols...

• S. Raulot. A remark on the rigidity of Poincaré-Einstein manifolds, Lett. Math. Phys. 109 (2019), no. 5, 1247-1256. https://link.springer.com/article/10.1007/s11005-018-01146-8

• O. Hijazi, S. Montiel, S. Raulot. On an inequality of Brendle in the hyperbolic space, C. R. Math. Acad. Sci. Paris 356 (2018), no. 3, 322–326. https://www.sciencedirect.com/science/article/pii/S1631073X1830030X

• O. Hijazi, S. Montiel, S. Raulot. Dirac operators on time flat submanifolds with applications, Comm. Math. Phys. 351 (2017), no. 3, 1177–1194. https://link.springer.com/article/10.1007/s00220-017-2837-6

• O. Hijazi, S. Montiel, S. Raulot. A positive mass theorem for asymptotically hyperbolic manifolds with inner boundary, Internat. J. Math. 26 (2015), no. 12, 1550101, 17 pp. https://www.worldscientific.com/doi/10.1142/S0129167X15501013

• N. Ginoux, G. Habib, S. Raulot.  A new upper bound for the Dirac operators on hypersurfaces, Pacific J. Math. 278 (2015), no. 1, 79–101. https://msp.org/pjm/2015/278-1/p03.xhtml

• S. Raulot, A. Savo. Sharp bounds for the first eigenvalue of a fourth-order Steklov problem,  J. Geom. Anal. 25 (2015), no. 3, 1602–1619. https://link.springer.com/article/10.1007/s12220-014-9486-1

• O. Hijazi, S. Montiel, S. Raulot. A holographic principle for the existence of imaginary Killing spinors, J. Geom. Phys. 91 (2015), 12–28. https://www.sciencedirect.com/science/article/pii/S0393044015000224

• O. Hijazi, S. Montiel, S. Raulot. Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant, Ann. Global Anal. Geom. 47 (2015), no. 2, 167–178.   https://link.springer.com/article/10.1007/s10455-014-9441-1

• O. Hijazi, S. Montiel, S. Raulot. On a Liu-Yau type inequality for surfaces, Pacific J. Math. 272 (2014), no. 1, 177–199. https://msp.org/pjm/2014/272-1/p08.xhtml

• S. Raulot, A. Savo. On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain, J. Geom. Phys. 77 (2014), 1–12. https://www.sciencedirect.com/science/article/pii/S0393044013002167

• S. Raulot. The Dirac operator on untrapped surfaces, Comm. Math. Phys. 318 (2013), no. 2, 411–427. https://link.springer.com/article/10.1007/s00220-013-1673-6

• S. Raulot. Rigidité conforme des hémisphères $\mathbb{S}^4_+$ et $\mathbb{S}^6_+$,  Math. Z. 271 (2012), no. 3-4, 707–714. https://link.springer.com/article/10.1007/s00209-011-0885-8

• S. Raulot, A. Savo. On the first eigenvalue of the Dirichlet-to-Neumann operator on forms,  J. Funct. Anal. 262 (2012), no. 3, 889–914. https://www.sciencedirect.com/science/article/pii/S0022123611003831

• S. Raulot, A. Savo. A Reilly formula and eigenvalue estimates for differential forms, J. Geom. Anal. 21 (2011), no. 3, 620–640. https://link.springer.com/article/10.1007/s12220-010-9161-0

• S. Raulot. Green functions for the Dirac operator under local boundary conditions and applications, Ann. Global Anal. Geom. 39 (4) (2011), 337-359. https://link.springer.com/article/10.1007/s10455-010-9236-y          

• E. Humbert, S. Raulot. Positive mass theorem for the Paneitz-Branson operator, Calc. Var. Partial Differential Equations 36 (4) (2009), 525-531. https://link.springer.com/article/10.1007/s00526-009-0241-6

• S. Raulot. La première valeur propre d'opérateurs de Dirac sur les variétés à bord et quelques applications, Actes du Séminaire de Théorie Spectrale de l'Institut Fourier de Grenoble. http://www.numdam.org/item/TSG_2007-2008__26__91_0

• S. Raulot. A Sobolev-like inequality for the Dirac operator, J. Funct. Anal. 256 (5) (2009), 1588-1617. https://www.sciencedirect.com/science/article/pii/S0022123608004989

• S. Raulot. On a spin conformal invariant on manifolds with boundary, Math. Z. 261 (2009), No. 2, 321-349. https://link.springer.com/article/10.1007/s00209-008-0327-4

• S. Raulot. Rigidity of compact Riemannian spin manifolds with boundary, Lett. Math. Phys. 86 (2008), No. 2, 177-192. https://link.springer.com/article/10.1007/s11005-008-0277-0

• O. Hijazi, S. Raulot. Branson's Q-curvature in Spin Geometry, SIGMA Symmetry, Integrability and Geom. Methods Appl. 3 (2007), 119, 14 pages. https://www.emis.de/journals/SIGMA/2007/119/

• S. Raulot. The Hijazi inequality on manifolds with boundary, J. Geom. Phys. 56 (2006), No. 11, 2189-2202. https://www.sciencedirect.com/science/article/pii/S0393044005002512

• S. Raulot. Optimal eigenvalue estimates for the Dirac operator on domains with boundary, Lett. Math. Phys. 73 (2005), No. 2, 135-145. https://link.springer.com/article/10.1007/s11005-005-0005-y

Proceedings

• S. Raulot. On a non linear Dirac equation , EDP-Normandie, Actes des colloques: Caen 2010, Rouen 2011.

Mémoires

• Habilitation à diriger les recherches: Sur quelques problèmes géométriques liés à la première valeur propre d’opérateurs elliptiques en géométrie riemannienne, soutenue le 05/06/2023 à l'Université de Rouen Normandie.  https://hal.science/tel-04884320

• Doctorat: Aspect conforme de l'opérateur de Dirac sur une variété à bord, soutenue le 06/06/2006 à l'Université de Lorraine sous la direction de O. Hijazi et E. Humbert. https://tel.archives-ouvertes.fr/tel-00098349