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Commun. Korean Math. Soc. 2015; 30(2): 123-130
Printed April 30, 2015
https://doi.org/10.4134/CKMS.2015.30.2.123
Copyright © The Korean Mathematical Society.
Second order parallel tensors and Ricci solitons on $(LCS)_n$-manifolds
Soumen Chandra, Shyamal Kumar Hui, and Absos Ali Shaikh
Garhjoypur, Purulia - 723201, Purulia - 723104, Burdwan - 713101
The object of the present paper is to study the second order parallel symmetric tensors and Ricci solitons on $(LCS)_n$-manifolds. We found the conditions of Ricci soliton on $(LCS)_n$-manifolds to be shrinking, steady and expanding respectively.
Keywords: $(LCS)_n$-manifolds, second order parallel tensors, Ricci soliton
MSC numbers: 53C15, 53C25
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