Parametrization of extremals of Grötzsch's problem

被引：0

作者：

Tamrazov P.M. ^{[1
]}

机构：

[1] Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev 01601, 3, Tereschenkivska Str.

来源：

关键词：

conformal mappings; graphs; Grötzsch's problem; hyperbolic capacity; quadratic differentials;

D O I：

10.1007/s10958-011-0358-y

中图分类号：

学科分类号：

摘要：

引用

页码：490 / 499

页数：9

共 9 条

[1]

Goluzin G.M., Geometric Theory of Functions of a Complex Variable, (1969)

[2]

Grotzsch H., Über ein Variationsproblem der konformen Abbildung, Ber. Ferh. Sächs. Akad. Wiss. Leipzig, 82, pp. 251-263, (1930)

[3]

Kuz'Mina G.V., Modules of families of curves and quadratic differentials, Trudy MIAN SSSR, 139, pp. 1-240, (1980)

[4]

Lavrentyev M.A., On the theory of conformal mappings, Trudy Fiz.-Mat. Inst. Akad. Nauk SSSR, 5, pp. 159-246, (1934)

[5]

Tamrazov P.M., Theorems on the covering of lines under a conformal mapping, Mat. Sb., 66, pp. 502-524, (1965)

[6]

Tamrazov P.M., Tchebotaröv's problem, Comptes Rendus Acad. Sci. Paris, Ser. I, 341, pp. 405-408, (2005)

[7]

Tamrazov P.M., Tchebotaröv's extremal problem, Centr. Europ. J. Math., 3, 4, pp. 591-605, (2005)

[8]

Tamrazov P.M., Grötzsch's problem, Zbirn. Prats' Inst. Mat. NAN Ukr., 2, 3, pp. 252-261, (2005)

[9]

Tamrazov P.M., Erratum to "Tchebotaröv's extremal problem, Centr. Europ. J. Math., 7, 3, pp. 568-570, (2009)