Notes on totally umbilical submanifolds in constant curvature spaces
نویسندگان
چکیده
منابع مشابه
Extrinsic sphere and totally umbilical submanifolds in Finsler spaces
Based on a definition for circle in Finsler space, recently proposed by one of the present authors and Z. Shen, a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1982
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381757807