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Search: MSC category 58C40 ( Spectral theory; eigenvalue problems [See also 47J10, 58E07] )

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1. CMB 2011 (vol 56 pp. 127)

Li, Junfang
 Evolution of Eigenvalues along Rescaled Ricci Flow In this paper, we discuss monotonicity formulae of various entropy functionals under various rescaled versions of Ricci flow. As an application, we prove that the lowest eigenvalue of a family of geometric operators $-4\Delta + kR$ is monotonic along the normalized Ricci flow for all $k\ge 1$ provided the initial manifold has nonpositive total scalar curvature. Keywords:monotonicity formulas, Ricci flowCategories:58C40, 53C44
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