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RICCI SOLITONS AND CONTACT METRIC MANIFOLDS

AMALENDU GHOSH

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Source: Crossref

Published: Aug 2, 2012

DOI: 10.1017/s0017089512000389

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Source abstract

Abstract We study on a contact metric manifold M 2 n +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.

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RICCI SOLITONS AND CONTACT METRIC MANIFOLDS — Mathematical Frontier Network