Some Classes of Lorentzian α -Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection

Santu DEY; Buddhadev Pal; Arindam BHATTACHARYYA

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 2, page 41-55
  • ISSN: 0231-9721

Abstract

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The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian α -Sasakian manifold. We study some curvature properties of an Lorentzian α -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally φ -symmetric, φ -symmetric, locally projective φ -symmetric, ξ -projectively flat Lorentzian α -Sasakian manifold with respect to the quarter-symmetric metric connection.

How to cite

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DEY, Santu, Pal, Buddhadev, and BHATTACHARYYA, Arindam. "Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 41-55. <http://eudml.org/doc/287875>.

@article{DEY2016,
abstract = {The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian $\alpha $-Sasakian manifold. We study some curvature properties of an Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally $\phi $-symmetric, $\phi $-symmetric, locally projective $\phi $-symmetric, $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection.},
author = {DEY, Santu, Pal, Buddhadev, BHATTACHARYYA, Arindam},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Quarter-symmetric metric connection; Lorentzian $\alpha $-Sasakian manifold; locally $\phi $-symmetric manifold; locally projective $\phi $-symmetric manifold; $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold},
language = {eng},
number = {2},
pages = {41-55},
publisher = {Palacký University Olomouc},
title = {Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection},
url = {http://eudml.org/doc/287875},
volume = {55},
year = {2016},
}

TY - JOUR
AU - DEY, Santu
AU - Pal, Buddhadev
AU - BHATTACHARYYA, Arindam
TI - Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 41
EP - 55
AB - The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian $\alpha $-Sasakian manifold. We study some curvature properties of an Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally $\phi $-symmetric, $\phi $-symmetric, locally projective $\phi $-symmetric, $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric metric connection.
LA - eng
KW - Quarter-symmetric metric connection; Lorentzian $\alpha $-Sasakian manifold; locally $\phi $-symmetric manifold; locally projective $\phi $-symmetric manifold; $\xi $-projectively flat Lorentzian $\alpha $-Sasakian manifold
UR - http://eudml.org/doc/287875
ER -

References

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