Isometry actions and geodesics orthogonal to submanifolds

2012/10/01 by Di Scala, Antonio J., Mendonça, Sérgio, Mirandola, Heudson +1
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1210.0527

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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