Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds

Krishnendu De; Uday Chand De

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

  • Volume: 55, Issue: 2, page 29-40
  • ISSN: 0231-9721

Abstract

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The object of the present paper is to study ξ -projectively flat and φ -projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.

How to cite

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De, Krishnendu, and De, Uday Chand. "Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 29-40. <http://eudml.org/doc/287918>.

@article{De2016,
abstract = {The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.},
author = {De, Krishnendu, De, Uday Chand},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Trans-Sasakian manifold; $\xi $-projectively flat; $\phi $-projectively flat; Einstein manifold},
language = {eng},
number = {2},
pages = {29-40},
publisher = {Palacký University Olomouc},
title = {Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds},
url = {http://eudml.org/doc/287918},
volume = {55},
year = {2016},
}

TY - JOUR
AU - De, Krishnendu
AU - De, Uday Chand
TI - Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 29
EP - 40
AB - The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.
LA - eng
KW - Trans-Sasakian manifold; $\xi $-projectively flat; $\phi $-projectively flat; Einstein manifold
UR - http://eudml.org/doc/287918
ER -

References

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