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Smoothness of a conformal map of Riemannian spaces

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Literature Cited

  1. Yu. G. Reshetnyak, “Differential properties of quasiconformal maps and conformal maps of Riemannian spaces”, Sib. Mat. Zh.,19, No. 5, 1166–1184 (1978).

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  2. J. Lelong-Ferrand, “Geometrical interpretations of scalar curvature and regularity of conformal homeomorphisms”, in: Differential Geometry and Relativity, Dordrecht, Boston (1976), pp. 91–105.

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  3. S. Z. Shefel', “Conformal correspondence of metrics and the smoothness of isometric immersions”, Sib. Mat. Zh.,20, No. 2, 397–401 (1979).

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  4. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).

  5. W. Blaschke, Differential Geometry [in German], Chelsea Publ.

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Authors
  1. S. Z. Shefel'
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Additional information

Mathematics Institute, Siberian Branch, Academy of Sciences of USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 1, pp. 153–159, January–February, 1982.

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Shefel', S.Z. Smoothness of a conformal map of Riemannian spaces. Sib Math J 23, 119–124 (1982). https://doi.org/10.1007/BF00971428

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  • DOI: https://doi.org/10.1007/BF00971428

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