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Eigenvalue estimates and L 1 energy on closed manifolds

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Abstract

In this paper, we study Lichnerowicz type estimate for eigenvalues of drifting Laplacian operator and the decay rates of L 1 and L 2 energy for drifting heat equation on closed Riemannian manifolds with weighted measure.

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Correspondence to Li Ma.

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Supported by National Natural Science Foundation of China (Grant No. 11271111)

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Ma, L. Eigenvalue estimates and L 1 energy on closed manifolds. Acta. Math. Sin.-English Ser. 30, 1729–1734 (2014). https://doi.org/10.1007/s10114-014-1726-6

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  • DOI: https://doi.org/10.1007/s10114-014-1726-6

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