Xi-ping Zhu

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20242026

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math.MG2026

Lipschitz regularity of harmonic map heat flows from $RCD$ spaces into $CAT (0)$ spaces

Bang-Xian Han, Hui-Chun Zhang, Xi-Ping Zhu

We prove positive-time regularity for harmonic map heat flows from finite-dimensional $RCD (K, N)$ spaces into complete $CAT (0)$ spaces, without assuming that eithe…

math.DG2026

Lipschitz regularity of harmonic map heat flows into $C A T (0)$ spaces

Hui-Chun Zhang, Xi-Ping Zhu

In 1964, Eells and Sampson proved the celebrated long-time existence and convergence for the harmonic map heat flow into non-positively curved Riemannian manifolds. In 1992, Gromov…

Lipschitz regularity of harmonic map heat flows from RCD spaces into CAT(0) spaces

Lipschitz regularity of harmonic map heat flows into CAT(0) spaces

Lipschitz regularity of harmonic map heat flows from $RCD$ spaces into $CAT (0)$ spaces

Lipschitz regularity of harmonic map heat flows into $C A T (0)$ spaces