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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 …
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 …