Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.

Minoru Kobayashi

Revista Matemática de la Universidad Complutense de Madrid (1991)

  • Volume: 4, Issue: 1, page 73-95
  • ISSN: 1139-1138

Abstract

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We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.

How to cite

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Kobayashi, Minoru. "Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.." Revista Matemática de la Universidad Complutense de Madrid 4.1 (1991): 73-95. <http://eudml.org/doc/44301>.

@article{Kobayashi1991,
abstract = {We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.},
author = {Kobayashi, Minoru},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Variedades de Cauchy-Riemann; Subvariedades; locally symmetric spaces; CR-manifolds; spaces of constant curvature; Einstein manifolds},
language = {eng},
number = {1},
pages = {73-95},
title = {Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.},
url = {http://eudml.org/doc/44301},
volume = {4},
year = {1991},
}

TY - JOUR
AU - Kobayashi, Minoru
TI - Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1991
VL - 4
IS - 1
SP - 73
EP - 95
AB - We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.
LA - eng
KW - Variedades de Cauchy-Riemann; Subvariedades; locally symmetric spaces; CR-manifolds; spaces of constant curvature; Einstein manifolds
UR - http://eudml.org/doc/44301
ER -

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