Contact CR-Submanifolds of Kenmotsu Manifolds

Atçeken, Mehmet. "Contact CR-Submanifolds of Kenmotsu Manifolds." Serdica Mathematical Journal 37.1 (2011): 67-78. <http://eudml.org/doc/281555>.

@article{Atçeken2011,
abstract = {2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give some results for contact CR-product and totally umbilical contact CR-submanifold in a Kenmotsu manifold and Kenmotsu space form.},
author = {Atçeken, Mehmet},
journal = {Serdica Mathematical Journal},
keywords = {Kenmotsu Manifold; Contact CR-Submanifold; Contact CR-Product; Kenmotsu manifold; contact CR-submanifold and contact CR-product},
language = {eng},
number = {1},
pages = {67-78},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Contact CR-Submanifolds of Kenmotsu Manifolds},
url = {http://eudml.org/doc/281555},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Atçeken, Mehmet
TI - Contact CR-Submanifolds of Kenmotsu Manifolds
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 1
SP - 67
EP - 78
AB - 2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give some results for contact CR-product and totally umbilical contact CR-submanifold in a Kenmotsu manifold and Kenmotsu space form.
LA - eng
KW - Kenmotsu Manifold; Contact CR-Submanifold; Contact CR-Product; Kenmotsu manifold; contact CR-submanifold and contact CR-product
UR - http://eudml.org/doc/281555
ER -