Journal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Volume 7, Issue 6, Pages 951-960Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887810004646
Keywords
Unit tangent bundle; Ricci soliton; H-contact manifold; K-contact manifold
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Funding
- University of New Haven
- Ministry of Education, Science and Technology [2009-0071643]
- National Research Foundation of Korea [2009-0071643] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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 E(n+1) x S(n) (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.
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