Conical structure for shrinking Ricci solitons

Abstract

For a shrinking Ricci soliton with Ricci curvature convergent to zero at infinity, it is proved that it must be asymptotically conical.

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Cited by in corpus (2)

• Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay
• A compactness theorem for four-dimensional shrinking gradient Ricci solitons