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This article is cited in 131 scientific papers (total in 134 papers)
On convex polyhedra in Lobachevskii spaces
E. M. Andreev
Abstract:
This paper is concerned with the investigation of properties of convex polyhedra in Lobachevskii spaces; it gives a complete description of convex bounded polyhedra with dihedral angles not exceeding $90^\circ$, in a three-dimensional Lobachevskii space. This in turn permits a description of the discrete groups generated by reflections acting in the three-dimensional Lobachevskii space with a compact fundamental region.
Figures: 6.
Bibliography: 6 titles.
Received: 03.06.1969
Citation:
E. M. Andreev, “On convex polyhedra in Lobachevskii spaces”, Mat. Sb. (N.S.), 81(123):3 (1970), 445–478; Math. USSR-Sb., 10:3 (1970), 413–440
Linking options:
https://www.mathnet.ru/eng/sm3382https://doi.org/10.1070/SM1970v010n03ABEH001677 https://www.mathnet.ru/eng/sm/v123/i3/p445
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Abstract page: | 1368 | Russian version PDF: | 647 | English version PDF: | 29 | References: | 84 | First page: | 1 |
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