Transcript seminario di fisica - Scuola Normale Superiore

SEMINARIO DI MATEMATICA
Mercoledì 18 gennaio 2017
ore 16:00
Scuola Normale Superiore
Pisa
Aula Marie Curie
Giona Veronelli
(Univ. Paris 13, Institut Galilée, Laboratoire LAGA)
terrà un seminario dal titolo:
“Riemannian extensions of manifolds with boundary”
Abstract:
Let (M,g) be a Riemannian manifold with nonempty boundary, and suppose that its curvature is (lower or
upper) bounded. In this talk we will approach the Riemannian extension problem for (M,g): can (M,g) be
realized as a domain in a "larger" manifold (N,h), complete and without boundary, in such a way that the
same curvature bound is preserved? We will present three classes of results: (1) a general existence
theorem for a complete extension in the absence of curvature constraints; (2) some topological
obstructions to the existence of an extension when a bound on its Ricci or sectional curvature is imposed;
(3) some existence results, notably under a convexity condition on the boundary. This is a joint project
with Stefano Pigola.
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze Matematiche e Naturali
Piazza dei Cavalieri, 7
56126 Pisa-Italy
tel: +39 050 509111
fax: +39 050 563513
17/01/2017