Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form

Esmaeil Abedi; Reyhane Bahrami Ziabari; Mukut Mani Tripathi

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 2, page 113-130
  • ISSN: 0044-8753

Abstract

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We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, θ -slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.

How to cite

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Abedi, Esmaeil, Ziabari, Reyhane Bahrami, and Tripathi, Mukut Mani. "Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form." Archivum Mathematicum 052.2 (2016): 113-130. <http://eudml.org/doc/281551>.

@article{Abedi2016,
abstract = {We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.},
author = {Abedi, Esmaeil, Ziabari, Reyhane Bahrami, Tripathi, Mukut Mani},
journal = {Archivum Mathematicum},
keywords = {Ricci curvature; scalar curvature; squared mean curvature; conformal Sasakian space form},
language = {eng},
number = {2},
pages = {113-130},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form},
url = {http://eudml.org/doc/281551},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Abedi, Esmaeil
AU - Ziabari, Reyhane Bahrami
AU - Tripathi, Mukut Mani
TI - Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 2
SP - 113
EP - 130
AB - We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.
LA - eng
KW - Ricci curvature; scalar curvature; squared mean curvature; conformal Sasakian space form
UR - http://eudml.org/doc/281551
ER -

References

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