Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/10326
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. |
URI: | http://hdl.handle.net/10662/10326 |
DOI: | 10.17398/2605-5686.34.2.255 |
Appears in Collections: | Extracta Mathematicae Vol. 34, nº 2 (2019) |
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2605-5686_34_2_255.pdf | 317,85 kB | Adobe PDF | View/Open |
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