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Infinitesimally small deformations of certain multidimensional surfaces

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Literature cited

  1. H. Jacobwitz, “Implicit function theorems and isometric embeddings,” Ann. Math.,95, No. 2, 191–225 (1972).

    Google Scholar 

  2. L. Yu. Lizunova, “On infinitely small deformations of hypersurfaces in a Rlemannian space,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 3, 36–42 (1970).

    Google Scholar 

  3. E. P. Sen'kin, “Addition to the paper ‘Rigidity of convex surfaces’,” Ukr. Geom. Sb.,17, 132–134 (1974).

    Google Scholar 

  4. T. A. Gorzii, “Rigidity of convex hypersurfaces in an elliptic space,” Ukr. Geom. Sb.,3, 66–68 (1973).

    Google Scholar 

  5. T. A. Gorzii, “On local rigidity of convex surfaces in an elliptic space,” Ukr. Geom. Sb.,18, 49–50 (1975).

    Google Scholar 

  6. Ioshio Matsuyama, “Rigidity of hypersurfaces with constant mean curvature,” Tohokô Math. J.,28, No. 2, 199–213 (1976).

    Google Scholar 

  7. E. Cartan, Geometry of Riemannian Spaces [Russian translation], ONTI NKTP SSSR, Moscow-Leningrad (1936).

    Google Scholar 

  8. L.-P. Eisenhart, Riemannian Geometry [Russian translation], IL, Moscow (1948).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 27, No. 3, pp. 469–479, March, 1980.

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Markov, P.E. Infinitesimally small deformations of certain multidimensional surfaces. Mathematical Notes of the Academy of Sciences of the USSR 27, 232–237 (1980). https://doi.org/10.1007/BF01140174

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