Harmonic diffeomorphisms of manifolds

Stepanov, S.; Shandra, I.

doi:10.1090/S1061-0022-05-00856-3

Harmonic diffeomorphisms of manifolds
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by S. E. Stepanov and I. G. Shandra
Translated by: N. Yu. Netsvetaev

St. Petersburg Math. J. 16 (2005), 401-412

DOI: https://doi.org/10.1090/S1061-0022-05-00856-3

Published electronically: March 9, 2005

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Abstract:

In spite of the abundance of publications on harmonic mappings of manifolds, at present there exists neither a theory of harmonic diffeomorphisms, nor a definition of infinitesimal harmonic transformation of a Riemannian manifold, to say nothing of the theory of groups of such transformations. In the paper, this gap is partially filled, and a new subject of investigations is announced.

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