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Pointed Blaschke manifolds and geodesic normal sections
Published online by Cambridge University Press: 17 April 2009
Extract
We study complete submanifolds of Euclidean space where every geodesic passing through a fixed point is the normal section along it. We prove that all such geodesics are independent of the direction at the point and such submanifolds are pointed Blaschke manifolds or diffeomorphic to a Euclidean space.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 377 - 383
- Copyright
- Copyright © Australian Mathematical Society 2004