A heat kernel characterization of asymptotic harmonicity
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- by François Ledrappier PDF
- Proc. Amer. Math. Soc. 118 (1993), 1001-1004 Request permission
Abstract:
A compact negatively curved manifold is asymptotically harmonic if and only if the relation $4{\lambda _1} = \beta$ holds, where ${\lambda _1}$ is the spectral gap of the Laplacian on the universal cover, and $\beta$ is the Kaimanovich entropy.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 1001-1004
- MSC: Primary 58G11; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1993-1137226-4
- MathSciNet review: 1137226