Siberian Mathematical Journal

, Volume 11, Issue 1, pp 15–21 | Cite as

The unlimitedness of a hyperbolic horn in the Euclidean space

  • A. L. Verner


Euclidean Space 
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Literature Cited

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    Yu. D. Burago, Inequalities of Isoperimetric Type in the Theory of Surfaces of Limited External Curvature [in Russian], Reports of Scientific Seminars of the Leningrad Department of the V. A. Steklov Mathematical Institute, Vol.10 (1968).Google Scholar
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    A. L. Verner, External Geometry of Simplest Complete Surfaces of Nonpositive Curvature I [in Russian], Matem. Sborn.,74, No.2, 218–240 (1967).Google Scholar
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    S. E. Kon-Fossen, Shortest Arcs and Total Curvature of Surfaces, in: S. E. Kon-Fossen's Problems of Differential Geometry as a Whole [in Russian], Fizmatgiz, Moscow (1959), pp. 174–244.Google Scholar
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    G. S. Chogoshvili, On Level Surfaces and Regions of Lower Values of Functions Given on a Limited Manifold [in Russian], Dokl. Akad. Nauk SSSR,24, 635–639 (1939).Google Scholar

Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1970

Authors and Affiliations

  • A. L. Verner

There are no affiliations available

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