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RICCI SOLITONS AND CONTACT METRIC MANIFOLDS

Published online by Cambridge University Press:  02 August 2012

AMALENDU GHOSH*
Affiliation:
Department of Mathematics, Krishnagar Government College, Krishnagar 741101, West Bengal, India e-mail: aghosh_70@yahoo.com
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Abstract

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We study on a contact metric manifold M2n+1(ϕ, ξ, η, g) such that g is a Ricci soliton with potential vector field V collinear with ξ at each point under different curvature conditions: (i) M is of pointwise constant ξ-sectional curvature, (ii) M is conformally flat.

Keywords

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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