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The Berger-Ebin theorem and harmonic maps and flows

✍ Scribed by S. E. Stepanov


Book ID
115065143
Publisher
Allerton Press, Inc.
Year
2012
Tongue
English
Weight
451 KB
Volume
56
Category
Article
ISSN
1066-369X

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A survey of divergence theorems in semi-Riemannian geometry is made. The generalization of a divergence theorem to vector fields along a map is given in semiRiemannian geometry and an application of it is made in Riemannian geometry to obtain some sufficient conditions for a map to be harmonic.