期刊
MATHEMATISCHE ZEITSCHRIFT
卷 269, 期 1-2, 页码 461-466出版社
SPRINGER
DOI: 10.1007/s00209-010-0745-y
关键词
Gradient Ricci soliton; Rigid Ricci soliton; Harmonic Weyl tensor
类别
资金
- [MTM2009-07756]
- [INCITE09 207 151]
We show that a compact Ricci soliton is rigid if and only if the Weyl conformal tensor is harmonic. In the complete noncompact case we prove the same result assuming that the curvature tensor has at most exponential growth and the Ricci tensor is bounded from below.
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