On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps

Authors :: Toshiaki Omori
Source :: Nagoya Math. J. 201 (2011), 133-146
Publication Year :: 2011
Publisher :: Cambridge University Press (CUP), 2011.
Abstract: In this note, we introduce an approximation of harmonic maps via a sequence of exponentially harmonic maps. We then reestablish the existence theorem of harmonic maps due to Eells and Sampson.

Subjects :: Harmonic coordinates
Sequence
010308 nuclear & particles physics
General Mathematics
010102 general mathematics
Mathematical analysis
Harmonic map
Existence theorem
53C43
Harmonic measure
01 natural sciences
58J05
Arzelà–Ascoli theorem
Harmonic function
0103 physical sciences
Mathematics::Differential Geometry
0101 mathematics
Mathematics

Full Text Access

Tools