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Certain results on generalized (k,μ) -contact metric manifolds
U C DE, K MANDAL
Published in Birkhauser Verlag AG
2017
Volume: 108
   
Issue: 2
Pages: 611 - 621
Abstract
The object of the present paper is to study second order symmetric parallel tensors in generalized (k,μ)-contact metric manifolds and its applications to Ricci solitons. Next, we prove that a generalized (k,μ)-contact metric manifold M admits a Ricci soliton whose potential vector field is the Reeb vector field ξ if and only if M is a Sasaki–Einstein manifold. Finally, we give some examples of generalized (k,μ)-contact metric manifold. © 2016, Springer International Publishing.
About the journal
JournalJournal of Geometry
PublisherBirkhauser Verlag AG
ISSN0047-2468