On Perelman’s functional with curvature corrections

Rami Ahmad El-Nabulsi

Abstract


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.

Keywords


Perelman’s functional; logarithmic curvature correction

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References


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DOI: http://dx.doi.org/10.2478/v10062-012-0012-2
Date of publication: 2016-07-25 12:22:16
Date of submission: 2016-07-25 11:27:14


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