Harmonic diffeomorphisms of manifolds
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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.References
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Bibliographic 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
- Received by editor(s): September 18, 2001
- Published electronically: March 9, 2005
- © Copyright 2005 American Mathematical Society
- Journal: St. Petersburg Math. J. 16 (2005), 401-412
- MSC (2000): Primary 53C43, 58E20
- DOI: https://doi.org/10.1090/S1061-0022-05-00856-3
- MathSciNet review: 2068345