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Seminários do IMPA

Geometria Diferencial

Título
Obstructions for submanifolds in low codimension
Expositor
Christos-Raent Onti

IMPA
Data
Terça-feira, 29 de maio de 2018, 15:30
Local
Sala 236.
Resumo

By the Nash’s embedding theorem, every Riemannian manifold can be isometrically immersed into a Euclidean space with sufficiently high codimension. However, there are results that impose restrictions on isometric immersions with low codimension. In our talk, we will present integral curvature bounds in terms of the Betti numbers for compact submanifolds of the Euclidean space with low codimension. Applications will also be given. This is a joint work with Th. Vlachos.