The Analytic Caratheodory Conjecture
- V. V. Ivanov
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The aim of this article is to provide the reader with a real possibility of becoming confident that the index of an isolated umbilic point of an analytic surface is never greater than one. For a surface homeomorphic to a sphere, this means in particular that on the surface there necessarily exist at least two umbilic points as it was conjectured by Caratheodory.
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- The Analytic Caratheodory Conjecture
Siberian Mathematical Journal
Volume 43, Issue 2 , pp 251-322
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- Kluwer Academic Publishers-Plenum Publishers
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- V. V. Ivanov (1)
- Author Affiliations
- 1. Sobolev Institute of Mathematics, Novosibirsk