Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from RCD(K,N) spaces to CAT(0) spaces

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...

Полное описание

Библиографические подробности
Главные авторы:	Mondino, A, Semola, D
Формат:	Journal article
Язык:	English
Опубликовано:	Johns Hopkins University Press 2023

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