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Hyperbolic bendings of surfaces. (English) Zbl 0241.53010

Math. Notes 10(1971), 702-706 (1972); translation from Mat. Zametki 10, 469-478 (1971).
See the review of the Russian original in Zbl 0238.53009.

MSC:

53A35 Non-Euclidean differential geometry
53A05 Surfaces in Euclidean and related spaces

Citations:

Zbl 0238.53009
Full Text: DOI

References:

[1] K. M. Belov, ?On bendings of ruled surfaces,? Sibirsk. Matem. Zh.,11, No. 2, 464-467 (1970).
[2] K. M. Belov, ?On the question of bendings of surfaces,? Ukr. Geom. Sbornik,9, 13-19 (1971).
[3] K. M. Belov, ?On closed surfaces,? Matem, Zametki,5, No. 6, 719-721 (1969). · Zbl 0184.46904
[4] H. Frank, ?Kongruenzsätze für Sternflächen in Räumen konstanter Krümmung,? Publications Math.,13, Nos. 1-4, 187-201 (1966). · Zbl 0173.49503
[5] A. A. Andronov et al., Qualitative Theory of Second Order Dynamic Systems [in Russian], Moscow (1966).
[6] A. A. Andronov et al., Theory of Bifurcations of Dynamic Systems on Planes [in Russian], Moscow (1967).
[7] V. T. Fomenko, ?On bendings and single-valued determinacy of surfaces of positive curvature with boundaries,? Dokl. Akad. Nauk SSSR,144, No. 2, 283-285 (1962).
[8] K. M. Belov, ?On single-valued determinacy of surfaces of positive curvature with boundaries,? Dokl. Akad. Nauk SSSR,127, No. 2, 239-241 (1959). · Zbl 0090.38002
[9] K. M. Belov, ?On boundary conditions in problems of surface bending,? Sibirsk. Matem. Zh.,12, No. 1, 216-220 (1971).
[10] H. Hopf and H. Samelson, ?Zum Beweis des Kongruenzsätzes für Flächen,? Math. Z.,43, 749-766 (1938). · JFM 64.0715.03 · doi:10.1007/BF01181117
[11] H. Schilt, ?Über die isolierten nullstellen der Flächenkrummung und einige Verbiegbarsätze,? Compos. Math.,5, No. 2, 239-283 (1937). · JFM 63.0663.03
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