Every Totally Umbilical Proper Slant Submanifold of a Kahler Manifold is Totally Geodesic

Articles > Article · 2008

Authors: Bayram ŞAHİN

RESULTS IN MATHEMATICS, Journal Indexed in SCI Expanded, International, 2008, vol 54, pp 167-172

DOI: 10.1007/s00025-008-0324-2

Summary

We prove that there do not exist totally umbilical proper slant submanifolds in Kahler manifolds other than totally geodesic proper slant submanifolds.

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