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Nikolaev, Igor Georgievich
Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14

Number of views:
This page:452
Abstract pages:2781
Full texts:1419
References:92
Doctor of physico-mathematical sciences
E-mail:
Website: https://faculty.math.illinois.edu/~inik

https://www.mathnet.ru/eng/person21976
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/225039

Publications in Math-Net.Ru Citations
1989
1. I. G. Nikolaev, “Axioms of Riemannian geometry”, Dokl. Akad. Nauk SSSR, 307:4 (1989),  812–814  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 172–174
2. I. G. Nikolaev, “Isotropic metric spaces”, Dokl. Akad. Nauk SSSR, 305:6 (1989),  1314–1317  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 408–410
3. V. N. Berestovskii, I. G. Nikolaev, “Multidimensional generalized Riemannian spaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 70 (1989),  190–272  mathnet  mathscinet  zmath 3
4. I. G. Nikolaev, “The closure of the set of classical Riemannian spaces”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 21 (1989),  43–66  mathnet  mathscinet  zmath; J. Soviet Math., 55:6 (1991), 2100–2115 3
1986
5. A. D. Aleksandrov, V. N. Berestovskii, I. G. Nikolaev, “Generalized Riemannian spaces”, Uspekhi Mat. Nauk, 41:3(249) (1986),  3–44  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:3 (1986), 1–54  isi 45
6. I. G. Nikolaev, S. Z. Shefel', “Differential properties of mappings that are conformal at a point”, Sibirsk. Mat. Zh., 27:1 (1986),  132–142  mathnet  mathscinet  zmath; Siberian Math. J., 27:1 (1986), 106–114  isi 1
1985
7. I. G. Nikolaev, S. Z. Shefel', “Smoothness of convex surfaces and generalized solutions of the Monge–Ampère equation based on differential properties of quasiconformal mappings”, Sibirsk. Mat. Zh., 26:6 (1985),  77–89  mathnet  mathscinet  zmath; Siberian Math. J., 26:6 (1985), 841–851  isi
8. I. G. Nikolaev, S. Z. Shefel', “Convex surfaces with positive bounded specific curvature, and a priori estimates for Monge–Ampère equations”, Sibirsk. Mat. Zh., 26:4 (1985),  120–136  mathnet  mathscinet  zmath; Siberian Math. J., 26:4 (1985), 572–586  isi 1
1983
9. I. G. Nikolaev, “Smoothness of the metric of spaces with bilaterally bounded curvature in the sense of A. D. Aleksandrov”, Sibirsk. Mat. Zh., 24:2 (1983),  114–132  mathnet  mathscinet  zmath; Siberian Math. J., 24:2 (1983), 247–263  isi 17
10. I. G. Nikolaev, “Parallel translation of vectors in spaces with curvature that is bilaterally bounded in the sense of A. D. Aleksandrov”, Sibirsk. Mat. Zh., 24:1 (1983),  130–145  mathnet  mathscinet  zmath; Siberian Math. J., 24:1 (1983), 106–119  isi 6
1982
11. I. G. Nikolaev, S. Z. Shefel', “Smoothness of convex surfaces on the basis of differential properties of quasiconformal mappings”, Dokl. Akad. Nauk SSSR, 267:2 (1982),  296–300  mathnet  mathscinet  zmath
1980
12. I. G. Nikolaev, “Parallel translation and smoothness of the metric of spaces of bounded curvature”, Dokl. Akad. Nauk SSSR, 250:5 (1980),  1056–1058  mathnet  mathscinet  zmath 2
1979
13. I. G. Nikolaev, “Solution of the Plateau problem in spaces of curvature at most $K$”, Sibirsk. Mat. Zh., 20:2 (1979),  345–353  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 246–252  isi 11
1978
14. I. G. Nikolaev, “Space of directions at a point of a space of curvature not greater than $K$”, Sibirsk. Mat. Zh., 19:6 (1978),  1341–1348  mathnet  mathscinet  zmath; Siberian Math. J., 19:6 (1978), 944–949  isi 4

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