Harnack Estimates for Conjugate Heat Kernel on Evolving Manifolds
| Autor: | Cao, Xiaodong, Guo, Hongxin, Tran, Hung |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00209-015-1479-7 |
| Popis: | In this article we derive Harnack estimates for conjugate heat kernel in an abstract geometric flow. Our calculation involves a correction term D. When D is nonnegative, we are able to obtain a Harnack inequality. Our abstract formulation provides a unified framework for some known results, in particular including corresponding results of Ni, Perelman, and Tran as special cases. Moreover it leads to new results in the setting of Ricci-Harmonic flow and mean curvature flow in Lorentzian manifolds with nonnegative sectional curvature. Comment: 16p |
| Databáze: | arXiv |
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