S. Yu. Nemirovski, R. G. Shafikov, “Uniformization of strictly pseudoconvex domains. I”, Izv. Math., 69:6 (2005), 1189

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Izvestiya: Mathematics, 2005, Volume 69, Issue 6, Pages 1189–1202
DOI: https://doi.org/10.1070/IM2005v069n06ABEH002295 (Mi im668)

This article is cited in 16 scientific papers (total in 16 papers)

Uniformization of strictly pseudoconvex domains. I

S. Yu. Nemirovski^a, R. G. Shafikov^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b University of Western Ontario, Department of Mathematics

English version PDF (238 kB) Citations (16) Russian version article

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DOI: https://doi.org/10.1070/IM2005v069n06ABEH002295

Abstract: It is shown that two strictly pseudoconvex Stein domains with real-analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher-dimensional analogue of the uniformization theorem.

Received: 10.03.2005

Bibliographic databases:

Document Type: Article

UDC: 517.55

MSC: 32D15, 32D10, 32E10

Language: English

Original paper language: Russian

Citation: S. Yu. Nemirovski, R. G. Shafikov, “Uniformization of strictly pseudoconvex domains. I”, Izv. Math., 69:6 (2005), 1189–1202

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/im668

https://doi.org/10.1070/IM2005v069n06ABEH002295

https://www.mathnet.ru/eng/im/v69/i6/p115

Cycle of papers

Uniformization of strictly pseudoconvex domains. I
S. Yu. Nemirovski, R. G. Shafikov
Izv. RAN. Ser. Mat., 2005, 69:6, 115–130
Uniformization of strictly pseudoconvex domains. II
S. Yu. Nemirovski, R. G. Shafikov
Izv. RAN. Ser. Mat., 2005, 69:6, 131–138

This publication is cited in the following 16 articles:

Peter V. Dovbush, Steven G. Krantz, The Geometric Theory of Complex Variables, 2025, 215
Xiaojun Huang, Xiaoshan Li, “Extension of multivalued holomorphic functions on a Stein space”, Math. Ann., 388:3 (2024), 2561
Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov, Frontiers in Mathematics, Geometry of Holomorphic Mappings, 2023, 85
Hervé Gaussier, Andrew Zimmer, “A metric analogue of Hartogs' theorem”, Geom. Funct. Anal., 32:5 (2022), 1041
Huang X., Xiao M., “Bergman-Einstein Metrics, a Generalization of Kerner'S Theorem and Stein Spaces With Spherical Boundaries”, J. Reine Angew. Math., 770 (2021), 183–203
Nemirovski S. Shafikov R.G., “Uniformization and Steinness”, Can. Math. Bul.-Bul. Can. Math., 61:3 (2018), 637–639
S. Pinchuk, R. Shafikov, A. Sukhov, “Some Aspects of Holomorphic Mappings: A Survey”, Proc. Steklov Inst. Math., 298 (2017), 212–247
Zhang L., “Intrinsic Derivative, Curvature Estimates and Squeezing Function”, Sci. China-Math., 60:6, SI (2017), 1149–1162
Jae-Cheon Joo, Aeryeong Seo, “HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN KÄHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS”, Journal of the Korean Mathematical Society, 52:1 (2015), 113
Zhang L., “On Curvature Estimates of Bounded Domains”, Complex Analysis and Geometry, Springer Proceedings in Mathematics & Statistics, Springer Proceedings in Mathematics & Statistics, 144, eds. Bracci F., Byun J., Gaussier H., Hirachi K., Kim K., Shcherbina N., Springer, 2015, 353–367
A. V. ISAEV, “ON THE CLASSIFICATION OF HOMOGENEOUS HYPERSURFACES IN COMPLEX SPACE”, Int. J. Math, 2013, 1350064
A.V. Isaev, “On a family of real hypersurfaces in a complex quadric”, Differential Geometry and its Applications, 2013
Isaev A., Spherical tube hypersurfaces, Lecture Notes in Math., 2020, Springer, Heidelberg, 2011, xii+220 pp.
Isaev A.V., Kossovskiy I.C., “Continuation of CR-automorphisms of Levi degenerate hyperquadrics to the projective space”, Illinois J. Math., 54:2 (2010), 747–752
S. Yu. Nemirovski, R. G. Shafikov, “Conjectures of Cheng and Ramadanov”, Russian Math. Surveys, 61:4 (2006), 780–782
S. Yu. Nemirovski, R. G. Shafikov, “Uniformization of strictly pseudoconvex domains. II”, Izv. Math., 69:6 (2005), 1203–1210

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Российской академии наук. Серия математическая

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Abstract page:	816
Russian version PDF:	282
English version PDF:	44
References:	100
First page:	2

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