Complete Ricci Solitons via Estimates on the Soliton Potential

Author:

Wink Matthias1

Affiliation:

1. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, CA 90095, USA

Abstract

Abstract In this paper, a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the setups of Lü–Page–Pope [24] and Dancer–Wang [17]. It also provides a different approach to the two summands system [30] that applies to all known geometric examples.

Funder

EPSRC Research Studentship

German National Academic Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference30 articles.

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4. Einstein Manifolds;Besse,1987

5. Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces;Böhm;Invent. Math.,1998

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