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arXiv · 0912.4101

Submanifolds of a complex space form, whose geodesics lie in 1 - dimensional complex submanifolds

Ognian Kassabov
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Abstract

It is proved, that if M is a connected, complete submanifold of a complex space form N and each geodesic of M lies in an 1-dimensional totally geodesic complex submanifold of N, then M is totally geodesic in N and is a real space form or a complex space form.

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Ognian Kassabov. 2009-12-21. Submanifolds of a complex space form, whose geodesics lie in 1 - dimensional complex submanifolds. https://arxiv.org/abs/0912.4101

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