On totally umbilical submanifolds of Finsler spaces
Annales Polonici Mathematici (2011)
- Volume: 100, Issue: 2, page 147-157
- ISSN: 0066-2216
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topQun He, Wei Yang, and Wei Zhao. "On totally umbilical submanifolds of Finsler spaces." Annales Polonici Mathematici 100.2 (2011): 147-157. <http://eudml.org/doc/281034>.
@article{QunHe2011,
abstract = {The notion of a totally umbilical submanifold of a Finsler manifold is introduced. Some Gauss equations are given and some results on totally umbilical submanifolds of Riemannian manifolds are generalized. Totally umbilical submanifolds of Randers spaces are studied; a rigidity theorem and an example are given.},
author = {Qun He, Wei Yang, Wei Zhao},
journal = {Annales Polonici Mathematici},
keywords = {second fundamental form; totally umbilical submanifold; minimal submanifold; Randers space},
language = {eng},
number = {2},
pages = {147-157},
title = {On totally umbilical submanifolds of Finsler spaces},
url = {http://eudml.org/doc/281034},
volume = {100},
year = {2011},
}
TY - JOUR
AU - Qun He
AU - Wei Yang
AU - Wei Zhao
TI - On totally umbilical submanifolds of Finsler spaces
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 2
SP - 147
EP - 157
AB - The notion of a totally umbilical submanifold of a Finsler manifold is introduced. Some Gauss equations are given and some results on totally umbilical submanifolds of Riemannian manifolds are generalized. Totally umbilical submanifolds of Randers spaces are studied; a rigidity theorem and an example are given.
LA - eng
KW - second fundamental form; totally umbilical submanifold; minimal submanifold; Randers space
UR - http://eudml.org/doc/281034
ER -
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