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Notes on contact Ricci solitons

Part of: Global differential geometry Symplectic geometry, contact geometry

Published online by Cambridge University Press:  28 October 2010

Jong Taek Cho
Jong Taek Cho
Affiliation:
Department of Mathematics, Chonnam National University, Gwangju 500-757, Korea ([email protected])
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Abstract

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A compact contact Ricci soliton (whose potential vector field is the Reeb vector field) is Sasaki–Einstein. A compact contact homogeneous manifold with a Ricci soliton is Sasaki–Einstein.

Keywords

contact manifoldReeb vector fieldRicci soliton

MSC classification

Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53D10: Contact manifolds, general
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 47 - 53
Copyright
Copyright © Edinburgh Mathematical Society 2010

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