On Almost Pseudo-Z-symmetric Manifolds

Uday Chand De; Prajjwal Pal

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2014)

  • Volume: 53, Issue: 1, page 25-43
  • ISSN: 0231-9721

Abstract

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The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat A ( P Z S ) n ( n > 3 ) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section 5.

How to cite

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De, Uday Chand, and Pal, Prajjwal. "On Almost Pseudo-Z-symmetric Manifolds." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 53.1 (2014): 25-43. <http://eudml.org/doc/261968>.

@article{De2014,
abstract = {The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat $A(PZS)_\{n\}$ ($n>3$) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section 5.},
author = {De, Uday Chand, Pal, Prajjwal},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {pseudo symmetric manifolds; pseudo Ricci symmetric manifolds; almost pseudo Ricci symmetric manifolds; almost pseudo-Z-symmetric manifolds; conformally flat almost pseudo-Z-symmetric manifolds; pseudo symmetric manifolds; pseudo Ricci symmetric manifolds; almost pseudo Ricci symmetric manifolds; almost pseudo-Z-symmetric manifolds; conformally flat almost pseudo-Z-symmetric manifolds},
language = {eng},
number = {1},
pages = {25-43},
publisher = {Palacký University Olomouc},
title = {On Almost Pseudo-Z-symmetric Manifolds},
url = {http://eudml.org/doc/261968},
volume = {53},
year = {2014},
}

TY - JOUR
AU - De, Uday Chand
AU - Pal, Prajjwal
TI - On Almost Pseudo-Z-symmetric Manifolds
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2014
PB - Palacký University Olomouc
VL - 53
IS - 1
SP - 25
EP - 43
AB - The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat $A(PZS)_{n}$ ($n>3$) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section 5.
LA - eng
KW - pseudo symmetric manifolds; pseudo Ricci symmetric manifolds; almost pseudo Ricci symmetric manifolds; almost pseudo-Z-symmetric manifolds; conformally flat almost pseudo-Z-symmetric manifolds; pseudo symmetric manifolds; pseudo Ricci symmetric manifolds; almost pseudo Ricci symmetric manifolds; almost pseudo-Z-symmetric manifolds; conformally flat almost pseudo-Z-symmetric manifolds
UR - http://eudml.org/doc/261968
ER -

References

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