η -Ricci Solitons on η -Einstein ( L C S ) n -Manifolds

Shyamal Kumar Hui; Debabrata Chakraborty

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

  • Volume: 55, Issue: 2, page 101-109
  • ISSN: 0231-9721

Abstract

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The object of the present paper is to study η -Ricci solitons on η -Einstein ( L C S ) n -manifolds. It is shown that if ξ is a recurrent torse forming η -Ricci soliton on an η -Einstein ( L C S ) n -manifold then ξ is (i) concurrent and (ii) Killing vector field.

How to cite

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Hui, Shyamal Kumar, and Chakraborty, Debabrata. "$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 101-109. <http://eudml.org/doc/287896>.

@article{Hui2016,
abstract = {The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i) concurrent and (ii) Killing vector field.},
author = {Hui, Shyamal Kumar, Chakraborty, Debabrata},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {$\eta $-Ricci soliton; $\eta $-Einstein manifold; $(LCS)_n$-manifold},
language = {eng},
number = {2},
pages = {101-109},
publisher = {Palacký University Olomouc},
title = {$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds},
url = {http://eudml.org/doc/287896},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Hui, Shyamal Kumar
AU - Chakraborty, Debabrata
TI - $\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 101
EP - 109
AB - The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i) concurrent and (ii) Killing vector field.
LA - eng
KW - $\eta $-Ricci soliton; $\eta $-Einstein manifold; $(LCS)_n$-manifold
UR - http://eudml.org/doc/287896
ER -

References

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