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Mathematics of the USSR-Sbornik, 1988, Volume 60, Issue 2, Pages 395–412
DOI: https://doi.org/10.1070/SM1988v060n02ABEH003177 (Mi sm1876) 		 
The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional

A. V. Tyrin
English version PDF (1070 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1988v060n02ABEH003177
Abstract: The author establishes the regularity of maps from Riemannian manifolds of small dimensions into certain homogeneous spaces with metrics near to the invariant metrics that locally minimize the multidimensional Dirichlet functional (energy).
Bibliography: 21 titles.
Received: 16.12.1985
Bibliographic databases:
UDC: 517.97
MSC: 58E20
Language: English
Original paper language: Russian
Citation: A. V. Tyrin, “The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional”, Math. USSR-Sb., 60:2 (1988), 395–412
Citation in format AMSBIB
\Bibitem{Tyr87}
\by A.~V.~Tyrin
\paper The regularity of~maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional
\jour Math. USSR-Sb.
\yr 1988
\vol 60
\issue 2
\pages 395--412
\mathnet{http://mi.mathnet.ru//eng/sm1876}
\crossref{https://doi.org/10.1070/SM1988v060n02ABEH003177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=889601}
\zmath{https://zbmath.org/?q=an:0679.49014}
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