
Arctic Environmental Research
A peer-reviewed open-access journal
e-ISSN 2658-7173 DOI:10.3897/issn2541-8416
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Founder: Northern (Arctic) Federal University named after M.V. Lomonosov Editorial office address: Russian Federation, 163002, Arkhangelsk, Naberezhnaya Severnoy Dviny 17, office 1410a Phone: (818-2) 21-61-00(15-33)e-mail: l.zhgileva@narfu.ru http://aer.narfu.ru/en/ 16+ ABOUT
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Section: Physics. Mathematics. Informatics UDC515.16AuthorsAndreev 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) AbstractThe 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.KeywordsG-space, non-positive curvature, tangent cone, Busemann conjecture.The full-text version of the article can be requested through the university’s library. References
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