Compact gradient shrinking Ricci solitons with positive curvature operator

DOI10.1007/BF02922090zbMath1135.53044arXivmath/0601599WikidataQ125706995 ScholiaQ125706995MaRDI QIDQ2459942

Xiaodong Cao

Publication date: 9 November 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601599

zbMATH Keywords

curvature operatorRicci flowRicci soliton

Mathematics Subject Classification ID

Related Items (19)

Some curvature identities on an almost conformal gradient shrinking RICCI soliton ⋮ Unnamed Item ⋮ On the classification of gradient Ricci solitons ⋮ \(f\)-Kenmotsu metric as conformal Ricci soliton ⋮ Rigidity results for shrinking and expanding Ricci solitons ⋮ On Multiply Warped Product Gradient Ricci Soliton ⋮ Unnamed Item ⋮ RIGIDITY CHARACTERIZATION OF COMPACT RICCI SOLITONS ⋮ On gradient Ricci solitons ⋮ Rigidity of shrinking Ricci solitons ⋮ Compact almost Ricci solitons with constant scalar curvature are gradient ⋮ Rigidity of gradient almost Ricci solitons ⋮ Variation of Laplace spectra of compact ``nearly hyperbolic surfaces ⋮ Gradient Yamabe and gradient \(m\)-quasi Einstein metrics on three-dimensional cosymplectic manifolds ⋮ Liouville theorems, volume growth, and volume comparison for Ricci shrinkers ⋮ Ricci solitons: The equation point of view ⋮ Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary ⋮ Gradient shrinking Ricci solitons of half harmonic Weyl curvature ⋮ Unnamed Item

Cites Work

• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• A theorem on Riemannian manifolds of positive curvature operator
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• Unnamed Item
• Unnamed Item

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