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ON THREE-DIMENSIONAL N(k)-PARACONTACT METRIC MANIFOLDS AND RICCI SOLITONS
U C DE, S DESHMUKH, K MANDAL
Published in SPRINGER SINGAPORE PTE LTD
2017
Volume: 43
   
Issue: 6
Pages: 1571 - 1583
Abstract
The aim of this paper is to characterize 3-dimensional N(k)-paracontact metric manifolds satisfying certain curvature conditions. We prove that a 3-dimensional N(k)-paracontact metric manifold M admits a Ricci soliton whose potential vector field is the Reeb vector field xi if and only if the manifold is a paraSasaki-Einstein manifold. Several consequences of this result are discussed. Finally, an illustrative example is constructed.
About the journal
JournalData powered by TypesetBulletin of the Iranian Mathematical Society
PublisherData powered by TypesetSPRINGER SINGAPORE PTE LTD
ISSN1018-6301