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Geometry of the Tangent Cone to Busemann Non-Positively Curved G-Space. Pp. 133–138.

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Section: Physics. Mathematics. Informatics




Andreev Pavel Dmitrievich, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia)

Starostina Vera Valeryevna, Postgraduate Student, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia)


The geometric properties of the tangent cone to Busemann non-positively curved G-space are studied in the paper. The authors consider the construction of the tangent cone as a basic tool for proving Busemann conjecture about the topological structure of G-spaces in the class of non-positively curved spaces.


G-space, non-positive curvature, tangent cone, Busemann conjecture.

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