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Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds

Part of: Global differential geometry

Published online by Cambridge University Press:  07 May 2019

Young Jin Suh  and
Uday Chand De
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, South Korea Email: [email protected]
Uday Chand De
Affiliation:
Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata - 700019, West Bengal, India Email: [email protected]
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Abstract

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The object of this paper is to study Yamabe solitons on almost co-Kähler manifolds as well as on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds. We also study Ricci solitons on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds.

Keywords

contact manifoldYamabe solitonconstant scalar curvature(k, 𝜇)-almost co-Kähler manifoldk-almost co-Kähler manifold

MSC classification

Primary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 3 , September 2019 , pp. 653 - 661
Copyright
© Canadian Mathematical Society 2019 

Footnotes

The first author was supported by the National Research Foundation of Korea, Grant Proj. No. NRF-2018-R1D1A1B-05040381.

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