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Liouville theorems for exponentially harmonic functions on Riemannian manifolds

✍ Scribed by Hong Min-Chun


Book ID
110558145
Publisher
Springer
Year
1992
Tongue
English
Weight
189 KB
Volume
77
Category
Article
ISSN
0025-2611

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Liouville theorems for quasi-harmonic fu
✍ Xiangrong Zhu; Meng Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 261 KB

Let N be a compact Riemannian manifold. A self-similar solution for the heat flow is a harmonic map from (R n , e -|x| 2 /2(n-2) ds 2 0 ) to N (n β‰₯ 3), which was also called a quasiharmonic sphere (cf. Lin and Wang (1999) [1]). (Here ds 2 0 is the Euclidean metric in R n .) It arises from the blow-