η -Ricci solitons on para-Sasakian manifolds

D. G. Prakasha; B. S. Hadimani

doi:10.1007/s00022-016-0345-z

η -Ricci solitons on para-Sasakian manifolds

D. G. Prakasha^*
, B. S. Hadimani

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

The object of this paper is to study a special type of metrics called η-Ricci solitons on para-Sasakian manifolds. We give the existence of para-Sasakian η-Ricci solitons in our settings. In addition, the non-existence of certain geometric characteristics of para-Sasakian η-Ricci solitons are studied. Finally, we discuss 3-dimensional and conformally flat para-Sasakian η-Ricci solitons.

Original language	English
Pages (from-to)	383-392
Number of pages	10
Journal	Journal of Geometry
Volume	108
Issue number	2
DOIs	https://doi.org/10.1007/s00022-016-0345-z
Publication status	Published - 01-07-2017

All Science Journal Classification (ASJC) codes

Geometry and Topology

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abstract = "The object of this paper is to study a special type of metrics called η-Ricci solitons on para-Sasakian manifolds. We give the existence of para-Sasakian η-Ricci solitons in our settings. In addition, the non-existence of certain geometric characteristics of para-Sasakian η-Ricci solitons are studied. Finally, we discuss 3-dimensional and conformally flat para-Sasakian η-Ricci solitons.",

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AB - The object of this paper is to study a special type of metrics called η-Ricci solitons on para-Sasakian manifolds. We give the existence of para-Sasakian η-Ricci solitons in our settings. In addition, the non-existence of certain geometric characteristics of para-Sasakian η-Ricci solitons are studied. Finally, we discuss 3-dimensional and conformally flat para-Sasakian η-Ricci solitons.

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η -Ricci solitons on para-Sasakian manifolds

Abstract

All Science Journal Classification (ASJC) codes

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