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7 votes

Self-contained book on Ricci Flow/Geometric Analysis

A quick search on Amazon provides at least three titles that are introductory texts to the topic for graduate students. (1) B. Chow, P. Lu, L. Ni: Hamilton's Ricci Flow, Graduate Studies in Mathemati …
Francesco Polizzi's user avatar
2 votes

What's the limit of a sequence of harmonic maps between manifolds?

When $N=\mathbb{R}$, this is a classical result by Friedrichs and Gårding : Theorem. (1) If a sequence of real-valued harmonic functions converges uniformly on compact subsets of $M$, then the limit …
Francesco Polizzi's user avatar