N. G. Kruzhilin, P. A. Soldatkin, “Affine and Holomorphic Equivalence of Tube Domains in $\mathbb C^2$”, Mat. Zametki, 75:5 (2004), 670–682; Math. Notes, 75:5 (2004), 623

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2004, Volume 75, Issue 5, Pages 670–682
DOI: https://doi.org/10.4213/mzm63 (Mi mzm63)

This article is cited in 9 scientific papers (total in 9 papers)

Affine and Holomorphic Equivalence of Tube Domains in

$\mathbb C^2$

N. G. Kruzhilin^a, P. A. Soldatkin^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b Russian State University for the Humanities

Full-text PDF (238 kB) Citations (9)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm63

Abstract: It is shown that, except for several explicitly described cases, two hyperbolic tube domains in

$\mathbb C^2$ are biholomorphically equivalent if and only if they are affinely equivalent.

Received: 24.11.2003

English version:
Mathematical Notes, 2004, Volume 75, Issue 5, Pages 623–634
DOI: https://doi.org/10.1023/B:MATN.0000030970.73887.6c

Bibliographic databases:

Document Type: Article

UDC: 514.14

Language: Russian

Citation: N. G. Kruzhilin, P. A. Soldatkin, “Affine and Holomorphic Equivalence of Tube Domains in

$\mathbb C^2$ ”, Mat. Zametki, 75:5 (2004), 670–682; Math. Notes, 75:5 (2004), 623–634

Citation in format AMSBIB

\Bibitem{KruSol04}

\by N.~G.~Kruzhilin, P.~A.~Soldatkin

\paper Affine and Holomorphic Equivalence of Tube Domains in $\mathbb C^2$

\jour Mat. Zametki

\yr 2004

\vol 75

\issue 5

\pages 670--682

\mathnet{http://mi.mathnet.ru/mzm63}

\crossref{https://doi.org/10.4213/mzm63}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2085249}

\zmath{https://zbmath.org/?q=an:1065.32001}

\elib{https://elibrary.ru/item.asp?id=13471382}

\transl

\jour Math. Notes

\yr 2004

\vol 75

\issue 5

\pages 623--634

\crossref{https://doi.org/10.1023/B:MATN.0000030970.73887.6c}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222492400004}

Linking options:

https://www.mathnet.ru/eng/mzm63

https://doi.org/10.4213/mzm63

https://www.mathnet.ru/eng/mzm/v75/i5/p670

This publication is cited in the following 9 articles:

V. I. Sukovykh, “Formuly dlya mladshikh teilorovskikh koeffitsientov odnorodnykh poverkhnostei”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2016, no. 5(36), 104–123
Isaev A., “Affine rigidity of Levi degenerate tube hypersurfaces”, J. Differ. Geom., 104:1 (2016), 111–141
Shimizu S., “Prolongation of Holomorphic Vector Fields on a Tube Domain”, Tohoku Math. J., 65:4 (2013), 495–514
Isaev A.V., “On the number of affine equivalence classes of spherical tube hypersurfaces”, Math Ann, 349:1 (2011), 59–74
Isaev A., “Spherical Tube Hypersurfaces”, Spherical Tube Hypersurfaces, Lect. Notes Math., 2020, Springer-Verlag Berlin, 2011, 1–217
Verma K., “A characterization of domains in $\mathbb C^2$ with noncompact automorphism group”, Math. Ann., 344:3 (2009), 645–701
Isaev A.V., “Zero CR-curvature equations for rigid and tube hypersurfaces”, Complex Variables and Elliptic Equations, 54:3–4 (2009), 317–344
N. G. Kruzhilin, P. A. Soldatkin, “Holomorphic Equivalence of Tube Domains in $\mathbb C^2$”, Proc. Steklov Inst. Math., 253 (2006), 90–99
N. G. Kruzhilin, “Holomorphic automorphisms of two-dimensional hyperbolic tube domains”, Russian Math. Surveys, 59:5 (2004), 966–968

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

Statistics & downloads:
Abstract page:	489
Full-text PDF :	213
References:	100
First page:	1

Registration to the website

Logotypes