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arxiv: 1210.0527 · v1 · pith:OQRY6VO2new · submitted 2012-10-01 · 🧮 math.DG

Isometry actions and geodesics orthogonal to submanifolds

Antonio J. Di Scala , S\'ergio Mendon\c{c}a , Heudson Mirandola , Gabriel Ruiz-Hern\'andez This is my paper
classification 🧮 math.DG
keywords geodesicorthogonalsubmanifoldsubmanifoldsactionsapplicationeveryfixed
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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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