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On three-dimensional hyperbolic manifolds with icosahedral symmetry. (Russian)
Authors: Damian Florin, Makarov V. S.
Abstract
Principle idea of our technique of constructing new manifolds is to use geometry of the geodetic boundary and it is illustrated by the following example. We consider two manifolds $ \Cal M^3_1$ and $ \Cal M^3_2$ with the same geodetic boundary $ \Cal M^2$ obtained from truncated rhombic triacontahedron $tRT$ (its 5-hedral vertices are cut) and truncated icosahedron $tI$. We can eliminate the boundary by gluing any two copies of manifolds above with different ways.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova
str. Academiei 5, Chişinău MD-2028, Moldova
Contents
- Concordant solutions of quasilinear multidimensional differential equations. (Russian)
- Combinatorial formula for generalized Fibonacci sequence and Chebyshev's polynomials of two variables. (English)
- Properties of topological modules free in some classes. II. (English)
- Global attractors of infinite-dimensional dynamical systems. II. (Russian)
- On hereditarily linearly compact algebras. (English)
- A generalized coupled dynamic problem of thermoelasticity for plane, cylindrical and spherical media. (Russian)
- Three-dimensional point groups of simple and double $P$- and $(P/)$-antisymmetry and their geometric applications. (Russian)
- Comparison of some sufficient conditions for smooth linearization. (English)
- On reduced right ideals of a ring. (English)
- Some properties of left quasihomomorphic mappings. (Russian)
- On three-dimensional hyperbolic manifolds with icosahedral symmetry. (Russian)
- Affine invariant conditions for topological classification of quadratic systems with $m_f=1$. (English)
