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  • 标题:Ricci solitons on para-Kähler manifolds
  • 本地全文:下载
  • 作者:SUNIL KUMAR YADAV
  • 期刊名称:Extracta Mathematicae
  • 印刷版ISSN:0213-8743
  • 出版年度:2019
  • 卷号:34
  • 期号:2
  • 页码:255-268
  • DOI:10.17398/2605-5686.34.2.255
  • 出版社:Universidad de Extremadura
  • 摘要:The main purpose of the paper is to study the nature of Ricci soliton on para-K¨ahlermanifolds satisfying some certain curvature conditions. In particular, if we consider certain pseudosymmetric and parallel symmetric tensor on para-K¨ahler manifolds we prove that V is solenoidalif and only if it is shrinking or steady or expanding depending upon the sign of scalar curvature fordimension M > 4, where (g, V, λ) be a Ricci soliton in a paraholomorphic projectively, pseudosymmetric para-K¨ahler manifolds. Moreover, we obtain some results related to the quasi-conformalcurvature tensor on such manifolds.
  • 关键词:Para-K¨ahler manifold; Ricci soliton; pseudosymmetry; paraholomorphic projective;curvature; quasi-conformal curvature
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