AI 中文总结
该研究证明了从RCD(K,N)空间到CAT(κ)空间的能量极小调和映射的局部Lipschitz连续性，完善了奇异空间间调和映射的正则性结论，验证了相关不等式变体。
AI 中文摘要
我们将证明：从RCD(K,N)空间内区域Ω出发、像落在CAT(κ)空间内小球中的能量极小调和映射是局部Lipschitz连续的。这完善了奇异空间间调和映射正则性的相关结论，并验证了奇异空间间Bochner-Eells-Sampson不等式的一种变体。
英文摘要
We are going to prove that energy minimizing harmonic maps from a domain $Ω$ inside an ${\rm RCD}(K,N)$ whose image lies in a small ball inside a ${\rm CAT}(κ)$ space are locally Lipschitz continuous. This completes the picture concerning regularity of harmonic maps between singular spaces and justifies a variant of the Bochner-Eells-Sampson inequality between singular spaces.
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