On stability of Ricci flows based on bounded curvatures.

Cai, Qihui; Zhao, Peibiao

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Displaying similar documents to “On stability of Ricci flows based on bounded curvatures.”

On Perelman’s functional with curvature corrections

Rami Ahmad El-Nabulsi (2012)

Annales UMCS, Mathematica

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In recent ten years, there has been much concentration and increased research activities on Hamilton’s Ricci flow evolving on a Riemannian metric and Perelman’s functional. In this paper, we extend Perelman’s functional approach to include logarithmic curvature corrections induced by quantum effects. Many interesting consequences are revealed.

Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues

Oldřich Kowalski (1993)

Commentationes Mathematicae Universitatis Carolinae

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We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.