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arXiv · 1210.0527

Isometry actions and geodesics orthogonal to submanifolds

Antonio J. Di Scala·Sérgio Mendonça·Heudson Mirandola·Gabriel Ruiz-Hernández
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Abstract

We investigate submanifolds in space forms such that every geodesic orthogonal to the submanifold intersects a fixed totally geodesic submanifold. We obtain an application to horospheres in Hadamard manifolds.

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Antonio J. Di Scala, Sérgio Mendonça, Heudson Mirandola, Gabriel Ruiz-Hernández. 2012-10-01. Isometry actions and geodesics orthogonal to submanifolds. https://arxiv.org/abs/1210.0527

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