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A general Ricci flow system

Jia-Yong Wu
대한수학회 (The Korean Mathematical Society)|2018.03|대한수학회지 (Journal of the KMS)|제55권 제2호|pp. 253-292

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참고문헌

키워드

Ricci flowentropygradient estimatesrenormalization group flowB-fieldstatic Einstein vacuum equationscompactness theorem
주제분류수학

초록

In this paper, we introduce a general Ricci flow system, which is closely linked with the Ricci flow and the renormalization group flow, etc. We prove the short-time existence, the entropy functionals, the higher derivatives estimates and the compactness theorem for this general Ricci flow system on closed Riemannian manifolds. These basic results are useful tools to understand the singularities of this system.

Abstract

In this paper, we introduce a general Ricci flow system, which is closely linked with the Ricci flow and the renormalization group flow, etc. We prove the short-time existence, the entropy functionals, the higher derivatives estimates and the compactness theorem for this general Ricci flow system on closed Riemannian manifolds. These basic results are useful tools to understand the singularities of this system.

참고문헌 (17)

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