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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Harmonic diffeomorphisms of manifolds


Authors: S. E. Stepanov and I. G. Shandra
Translated by: N. Yu. Netsvetaev
Original publication: Algebra i Analiz, tom 16 (2004), nomer 2.
Journal: St. Petersburg Math. J. 16 (2005), 401-412
MSC (2000): Primary 53C43, 58E20
Published electronically: March 9, 2005
MathSciNet review: 2068345
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

S. E. Stepanov
Affiliation: Vladimir State Pedagogical University, Pr. Stroitelei 11, Vladimir 600024, Russia
Email: stepanov@vtsnnet.ru

I. G. Shandra
Affiliation: Financial Academy, Government of the Russian Federation, Leningradskii Pr. 51, Moscow 125468, Russia
Email: igor-shandra@mtu-net.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-05-00856-3
PII: S 1061-0022(05)00856-3
Keywords: Riemannian manifold, harmonic diffeomorphism, infinitesimal harmonic transformation
Received by editor(s): September 18, 2001
Published electronically: March 9, 2005
Article copyright: © Copyright 2005 American Mathematical Society