Some Comparison Theorems in Finsler--Hadamard Manifolds

We give upper and lower bounds for the ratio of the volume of metric ball to the area of metric sphere in Finsler-Hadamard manifolds with the pinched S-curvature. We apply these estimates to find the limit at infinity for this ratio. The estimates derived are the generalization of the result well kn...

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Bibliographic Details
Date:2007
Main Authors: Borisenko, A.A., Olin, E.A.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/7610
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Some comparison theorems in Finsler - Hadamard manifolds / A.A. Borisenko, E.A. Olin // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 3. — С. 298-312. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine