Homotopy Groups, Focal Points and Totally Geodesic Immersions

Autor:	Mendonça, Sérgio, Mirandola, Heudson
Rok vydání:	2011
Předmět:	Mathematics - Differential Geometry Primary 53C20 Secondary 53C42
Druh dokumentu:	Working Paper
Popis:	In this paper we consider on a complete Riemannian manifold $M$ an immersed totally geodesic hypersurface $\Si$ existing together with an immersed submanifold $N$ without focal points. No curvature condition is needed. We obtained several connectedness results relating the topologies of $M$ and $\Si$ which depend on the codimension of $N$. Comment: 24 pages. To appear in Indiana University Mathematical Journal
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1108.1822 Zobrazit plný text záznamu View this record from Arxiv