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Geometry of Complete Gradient Shrinking Ricci Solitons

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arxiv 0903.3927 v2 pith:74FQKX4N submitted 2009-03-23 math.DG

Geometry of Complete Gradient Shrinking Ricci Solitons

classification math.DG
keywords completegradientriccishrinkingsolitonsarticleasymptoticballs
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We survey some of the recent progress on complete gradient shrinking Ricci solitons, including the classifications in dimension three and asymptotic behavior of potential functions as well as volume growths of geodesic balls in higher dimensions. This article is written for the conference proceedings dedicated to Yau's 60th birthday.

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  1. Traversable Wormhole De-singularization: Almost $\eta$-Ricci-Yamabe Solitons in Static Spherically Symmetric Imperfect Fluid Spacetimes

    gr-qc 2026-07 reject novelty 4.0

    The paper argues that an almost η-Ricci-Yamabe soliton can turn a static black hole into a traversable wormhole, but the argument reduces to coordinate identities and an inconsistent horizon condition.