|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
Dihedrons of a Hyperbolic Three-Space of Positive Curvatureстатья
- Автор: Romakina Lyudmila N.
- Журнал: International Electron Journal of Geometry
- Том: 9
- Номер: 2
- Год издания: 2016
- Первая страница: 50
- Последняя страница: 58
- Аннотация: We consider a hyperbolic space H^3 of positive curvature in the projective Cayley–Klein model. In this model the space H^3 is realized on the ideal domain of a Lobachevskii space L^3. This domain is an exterior of a projective space P_3 with respect to an oval surface called an absolute of the spaces H^3 and L^3. The group G^3 of projective automorphisms of the oval surface is the fundamental group of transformations for the space H^3 and the Lobachevskii space. In article the classification of dihedrons of the space H^3 is proposed. It is shown that all dihedrons of the space H^3 belong to fifteen types wich are invariant under the transformations of the group G^3. Dihedrons of six types are measurable by means of the absolute. Dihedrons of three types have real measures.
- Добавил в систему: Ромакина Людмила Николаевна