Homotopy Groups, Focal Points and Totally Geodesic Immersions

Sérgio Mendonça; Heudson Mirandola

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arXiv · 1108.1822

Homotopy Groups, Focal Points and Totally Geodesic Immersions

Sérgio Mendonça·Heudson Mirandola

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Abstract

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 $N$.

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BibTeX RIS

Sérgio Mendonça, Heudson Mirandola. 2011-08-08. Homotopy Groups, Focal Points and Totally Geodesic Immersions. https://arxiv.org/abs/1108.1822

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