Geodesic
Boundary properties of surfaces with slowly varying negative curvature
Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 257-271 
A. S. Vinogradskii. Boundary properties of surfaces with slowly varying negative curvature. Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 257-271. http://geodesic.mathdoc.fr/item/SM_1970_11_2_a9/
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     author = {A. S. Vinogradskii},
     title = {Boundary properties of surfaces with slowly varying negative curvature},
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     year = {1970},
     volume = {11},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_2_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper surfaces with slowly varying negative Gaussian curvature are investigated. It appears that, under certain auxiliary conditions, which preclude the occurrence of branch points, the natural boundary of such surfaces includes a continuous, and moreover smooth, component arc. Figures: 3. Bibliography: 13 titles.

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[2] N. V. Efimov, E. G. Poznyak, “Nekotorye preobrazovaniya osnovnykh uravnenii teorii poverkhnostei”, DAN SSSR, 137:1 (1961), 25–27 | MR

[3] N. V. Efimov, E. G. Poznyak, “Obobschenie teoremy Gilberta o poverkhnostyakh postoyannoi otritsatelnoi krivizny”, DAN SSSR, 137:3 (1961), 509–512 | MR | Zbl

[4] N. V. Efimov, “Poverkhnosti s medlenno menyayuscheisya otritsatelnoi kriviznoi”, Uspekhi matem. nauk, XXI:6(131) (1966), 3–58 | MR

[5] N. V. Efimov, “Giperbolicheskie zadachi teorii poverkhnostei”, Trudy mezhdunarodnogo kongressa matematikov, Mir, Moskva, 1969, 177–188 | MR

[6] E. G. Poznyak, “O regulyarnoi realizatsii v tselom dvumernykh metrik otritsatelnoi krivizny”, Ukr. geom. sb., 1966, no. 3, 78–92 | Zbl

[7] E. R. Rozendorn, “Slabo neregulyarnye poverkhnosti otritsatelnoi krivizny”, Uspekhi matem. nauk, XXI:5(131) (1966), 59–115 | MR

[8] B. L. Rozhdestvenskii, “Sistema kvazilineinykh uravnenii teorii poverkhnostei”, DAN SSSR, 143:1 (1962), 50–52 | Zbl

[9] B. L. Rozhdestvenskii, A. D. Sidorenko, “O nevozmozhnosti gradientnoi katastrofy dlya slabo-nelineinykh sistem”, ZhVMMF, 7:5 (1967), 1176–1179 | MR | Zbl

[10] E. R. Rozendorn, “Vliyanie vnutrennei metriki na regulyarnost poverkhnosti otritsatelnoi krivizny”, Matem. sb., 73(115) (1967), 236–254 | MR | Zbl

[11] M. H. Amsler, “Des surfaces á courbure négative constante dans l'espace á trois dimension et de leur singularites”, Math. Ann., 130 (1955), 234–256 | DOI | MR | Zbl

[12] A. I. Markushevich, Teoriya analiticheskikh funktsii, Gostekhizdat, Moskva–Leningrad, 1950

[13] R. Osserman, “Minimalnye poverkhnosti”, Uspekhi matem. nauk, XXII:4(136) (1967), 55–135 | MR