CONTACT GEOMETRY AND RICCI SOLITONS-Reference-Cited by-同舟云学术

CONTACT GEOMETRY AND RICCI SOLITONS

Published:2010-09 Issue:06 Volume:07 Page:951-960
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CHO JONG TAEK¹,SHARMA RAMESH²

Affiliation:

1. Department of Mathematics, Chonnam National University, Gwangju 500-757, Korea

2. Department of Mathematics, University of New Haven, West Haven, CT 06516, USA

Abstract

We show that a compact contact Ricci soliton with a potential vector field V collinear with the Reeb vector field, is Einstein. We also show that a homogeneous H-contact gradient Ricci soliton is locally isometric to En+1 × Sn(4). Finally we obtain conditions so that the horizontal and tangential lifts of a vector field on the base manifold may be potential vector fields of a Ricci soliton on the unit tangent bundle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887810004646

Reference17 articles.

1. Two remarks on contact metric structures

2. Contact metric manifolds satisfying a nullity condition

3. Generalization of Myers' Theorem on a contact manifold

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