Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from RCD(K,N) spaces to CAT(0) spaces
We establish Lipschitz regularity of harmonic maps from RCD(K, N) metric measure spaces with lower Ricci curvature bounds and dimension upper bounds in synthetic sense with values into CAT(0) metric spaces with non-positive sectional curvature. Under the same assumptions, we obtain a Bochner-Eells-S...
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| 格式: | Journal article |
| 語言: | English |
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Johns Hopkins University Press
2023
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