Harmonic Maps to R-trees and Morgan-shalen Compactification
نویسنده
چکیده
(1) In Section 2, we define the notion of harmonic maps and quadratic differentials. Then we give a harmonic map proof of Teichmuller’s theorem by Wolf. (See [2], [9]) (2) In Section 3, we explain a compactification of Teichmuller spaces by Wolf using harmonic maps. (See [2], [4], [10], [11]) (3) In Section 4, we review the Morgan-Shalen compactification and the Korevaar-Schoen limit. Then we give a generalization of Section 3 based on the work of Daskalopoulos, Dostoglou, and Wentworth. (See [1], [2], [7])
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