This article is cited in 1 paper

On harmonic mappings of Riemann surfaces and fibered manifolds

A. I. Pluzhnikov


Abstract: This paper contains a new criterion for mappings of Riemannian manifolds to be harmonic and (as a consequence) new proofs of earlier results on harmonic mappings of closed compact Riemann surfaces. It also contains a theorem that establishes necessary and sufficient conditions that a homomorphism of Riemannian fibrations should be harmonic, in terms of mappings of the fibers and a quotient mapping of the bases of the fibrations.
Bibliography: 11 titles.

UDC: 519.3

MSC: 53C21, 57R35

Received: 12.11.1979

 English version: Mathematics of the USSR-Sbornik, 1982, 41:2, 281–287

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