The rigidity of surfaces of geneus p≥1 with boundary in Lobachevskii space

E. V. Tyurikov

doi:10.1007/bf00966384

journal article Sep 01, 1976

The rigidity of surfaces of geneus p≥1 with boundary in Lobachevskii space

E. V. Tyurikov

Siberian Mathematical Journal Vol. 17 No. 5 pp. 834-842 · Springer Science and Business Media LLC

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References

11

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A. V. Pogorelov, Extrinsic Geometry of Convex Surfaces [in Russian], Fizmatgiz, Moscow (1969).

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I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz. Moscow (1959).

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L. S. Il'ina and A. E. Kagan, “The theory of surfaces in Lobachevskii space in the Caley-Klein model and infinitesimally small deformations,” Vestn. Leningr. Un-ta, Ser. Matem. Mekhan. Astron., No. 19, Issue 4, 19–28 (1972).

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V. T. Fomenko, “On rigidity and unique determination of closed surfaces of genus p≥1 in a Riemannian space,” Dokl. Akad. Nauk SSSR,213, No. 1, 45–48 (1973).

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L. P. Eisenhart, Riemannian Geometry, Princeton Univ. Press (1950). 10.1515/9781400884216

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V. T. Fomenko, “On the rigidity of surfaces when the torsion of the boundary is stationary,” Mat. Analiz i Ego Prilozheniya, Izd. Rost. Un-ta,3, 110–130 (1971).

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É. I. Zverovich and G. S. Litvinchuk, “Boundary-value problems with a shift for analytic functions and singular functional equations,” Usp. Matem. Nauk,23, No. 3, 67–121 (1968).

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Yu. L. Rodin, Elliptic Systems of First-Order Differential Equations on Riemann Surfaces. Doctoral Dissertation, Tbilisi Mathematical Institute, Tbilisi (1965).

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Yu. L. Rodin, “Integrals of Cauchy type and boundary-value problems for generalized analytic functions on closed Riemann surfaces,” Dokl. Akad. Nauk SSSR,142, No. 4, 798–801 (1962).

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Published: Sep 01, 1976
Vol/Issue: 17(5)
Pages: 834-842
License: View

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E. V. Tyurikov

Cite This Article

E. V. Tyurikov (1976). The rigidity of surfaces of geneus p≥1 with boundary in Lobachevskii space. Siberian Mathematical Journal, 17(5), 834-842. https://doi.org/10.1007/bf00966384

The rigidity of surfaces of geneus p≥1 with boundary in Lobachevskii space

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