Sylvestre Gallot
Sylvestre FL Gallot (born January 29, 1948 in Bazoches-lès-Bray ) is a French mathematician who deals with differential geometry . He is a professor at the University of Grenoble .
Gallot received his doctorate from Marcel Berger at the University of Paris VII , was at the Université de Savoie (early 1980s), at the Ecole Normale Superieure de Lyon and at the University of Grenoble (Institut Fourier). Among other things, he dealt with isoperimetric inequalities in Riemannian geometry, rigidity theorems and the spectrum of the Laplace operator on Riemannian manifolds .
In 1985, together with Gérard Besson and Pierre Berard, he found a form of isoperimetric inequality in Riemannian manifolds depending on a lower bound for the Ricci curvature and the diameter. In 1995 he and Besson and Gilles Courtois proved an inequality for the volume entropy of locally symmetrical spaces of negative curvature, which in turn provided a new, simpler proof of the rigidity theorem of George Mostow (1968), which says that compact hyperbolic manifolds in more than two dimensions by their Fundamental group are determined except for isometry.
Gilles Courtois is one of his PhD students .
In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Curvature decreasing maps are volume decreasing).
Fonts
- with Dominique Hulin, Jacques Lafontaine Riemannian Geometry , Universitext, Springer Verlag, 3rd edition 2004
- with Daniel Meyer Operateur de courbure et laplacien des formes differentielles d´une variété riemannienne , J. Math. Pures Appliqués, 54, 1975, 259–284
- Inégalités isopérimétriques, courbure de Ricci et invariants géométriques, 1,2, Comptes Rendus Acad. Sci., 296, 1983, 333-336, 365-368
- Inégalités isopérimétriques et analytiques sur les variétés riemanniennes, Astérisque 163/164, 1988, 33-91
- with Pierre Bérard, Gérard Besson Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov , Inventiones Mathematicae, Volume 80, 1985, pp. 295–308,
- with G. Besson, P. Bérard Embedding riemannian manifolds by their heat kernel , Geometric Functional Analysis (GAFA), 4, 1994, pp. 373-398
- with G. Besson, G. Courtois Volume et entropie minimale des espaces localement symétriques , Inventiones Mathematicae, 103, 1991, pp. 417-445 doi : 10.1007 / BF01239520
- with G. Besson, G. Courtois: Les variétés hyperboliques sont des minima locaux de l'entropie topologique, Inventiones Mathematicae 177, 1994, pp. 403-445
- with G. Besson G. Courtois: Volume et entropie minimales des variétés localement symétriques, GAFA 5, 1995, pp. 731-799
- with G. Besson, G. Courtois: Minimal entropy and Mostow's rigidity theorems , Ergodic Theory and Dynamical Systems, 16, 1996, pp. 623-649
- Volumes, courbure de Ricci et convergence des variétés, d'après T. H. Colding et Cheeger - Colding , Séminaire Bourbaki 835, 1997/98
Web links
Individual evidence
- ↑ Date of birth according to Lccn
- ↑ Italian search engine
- ↑ See Marcel Berger A panoramic view of Riemannian Geometry , Springer Verlag 2002, p. 343
- ↑ Berger, A Panoramic view .., p. 510
- ↑ Pierre Pansu Volume, courbure et entropie, d'après Besson, Courtois et Gallot, Seminaire Bourbaki 823, 1996/97, numdam ( Memento of the original from June 10, 2015 in the Internet Archive ) Info: The archive link was automatically inserted and not yet checked. Please check the original and archive link according to the instructions and then remove this notice.
| personal data | |
|---|---|
| SURNAME | Gallot, Sylvestre |
| ALTERNATIVE NAMES | Gallot, Sylvestre FL |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | January 29, 1948 |
| PLACE OF BIRTH | Bazoches-lès-Bray |