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On noncompact
τ-quasi-Einstein metrics
Lin Feng Wang |
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Vol. 254 (2011), No. 2, 449–464
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Abstract |
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In this paper, we will study the τ-quasi-Einstein metrics on complete noncompact Riemannian manifolds and get a rigid property. We will also obtain lower and upper estimates for scalar curvatures on these metrics by using the maximum principle. |
Keywords
τ-quasi-Einstein metric,
rigidity properties, maximum principle, potential function
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Mathematical Subject Classification 2010
Primary: 53C21
Secondary: 53C25
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Milestones
Received: 10 January 2011
Revised: 7 November 2011
Accepted: 14 November 2011
Published: 27 February 2012
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Authors |
| Lin Feng Wang | |
| School of Science Nantong University Nantong 226007, Jiangsu China |
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