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Hausdorff realization of linear geodesics in the Gromov–Hausdorff space
A. O. Ivanov, A. A. Tuzhilin Lomonosov Moscow State University
Abstract:
A realization of a “rectilinear” geodesic lying in the Gromov–Hausdorff space is constructed in the form of the shortest geodesic with respect to the Hausdorff distance in some ambient metric space.
Keywords:
metric geometry, Hausdorff distance, Gromov–Hausdorff distance, geodesic.
Citation:
A. O. Ivanov, A. A. Tuzhilin, “Hausdorff realization of linear geodesics in the Gromov–Hausdorff space”, Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 33–38
Linking options:
https://www.mathnet.ru/eng/into670 https://www.mathnet.ru/eng/into/v182/p33
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Abstract page: | 173 | Full-text PDF : | 78 | References: | 24 |
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