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

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

2009-12-21

arxiv.org/abs/0912.4101v1

Bull. Math. Soc. Sc. Math. Roumanie, Tome 39 (87) Nr. 1-4, 1996

Mathematics

Differential Geometry

4 pages

Scientific paper

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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