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Title: Ricci solitons on para-Kähler manifolds
Authors: Yadav, Sunil Kumar
Keywords: Para-Kähler manifold;Ricci soliton;Pseudosymmetry;Paraholomorphic projective curvature;Quasi-conformal curvature;Colector de Para-Kähler;Pseudosimetría;Curvatura proyectiva paraholomórfica;Curvatura cuasi-conformal
Issue Date: 2019
Publisher: Universidad de Extremadura
Abstract: The main purpose of the paper is to study the nature of Ricci soliton on para-Kähler manifolds satisfying some certain curvature conditions. In particular, if we consider certain pseudosymmetric and parallel symmetric tensor on para-Kähler manifolds we prove that V is solenoidal if and only if it is shrinking or steady or expanding depending upon the sign of scalar curvature for dimension M > 4, where (g; V; λ) be a Ricci soliton in a paraholomorphic projectively, pseudosymmetric para-Kähler manifolds. Moreover, we obtain some results related to the quasi-conformal curvature tensor on such manifolds.
DOI: 10.17398/2605-5686.34.2.255
Appears in Collections:Extracta Mathematicae Vol. 34, nº 2 (2019)

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