Slant and pseudo-slant submanifolds in LCS -manifolds

Mehmet Atçeken; Shyamal Kumar Hui

Czechoslovak Mathematical Journal (2013)

  • Volume: 63, Issue: 1, page 177-190
  • ISSN: 0011-4642

Abstract

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We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an LCS-manifold to illustrate the subject.

How to cite

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Atçeken, Mehmet, and Kumar Hui, Shyamal. "Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds." Czechoslovak Mathematical Journal 63.1 (2013): 177-190. <http://eudml.org/doc/252505>.

@article{Atçeken2013,
abstract = {We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an LCS-manifold to illustrate the subject.},
author = {Atçeken, Mehmet, Kumar Hui, Shyamal},
journal = {Czechoslovak Mathematical Journal},
keywords = {slant submanifold; pseudo-slant submanifold; $\{\rm LCS\}$-manifold; slant submanifold; pseudo-slant submanifold; -manifold},
language = {eng},
number = {1},
pages = {177-190},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Slant and pseudo-slant submanifolds in $\{\rm LCS\}$-manifolds},
url = {http://eudml.org/doc/252505},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Atçeken, Mehmet
AU - Kumar Hui, Shyamal
TI - Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds
JO - Czechoslovak Mathematical Journal
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 1
SP - 177
EP - 190
AB - We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an LCS-manifold to illustrate the subject.
LA - eng
KW - slant submanifold; pseudo-slant submanifold; ${\rm LCS}$-manifold; slant submanifold; pseudo-slant submanifold; -manifold
UR - http://eudml.org/doc/252505
ER -

References

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