Helixes on Clifford Surfaces in a Hyperbolic Space of Positive Curvature

Автор: Romakina Lyudmila N.
Сборник: 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017) (Budapest, 15–18 August 2017), AIP Conference Proceedings, 1926, 020037, eds. Murat Tosun, Soley Ersoy and Kazim Ilarslan, American Institute of Physics
Серия: AIP Conference Proceedings
Том: 20037
Год издания: 2018
Издательство: AIP Publishing
Местоположение издательства: United States
Первая страница: 020037-1
Последняя страница: 020037-7
DOI: 10.1063/1.5020486
Аннотация: Helixes on Clifford surfaces in a hyperbolic space H^3 of positive curvature are investigated. We formulate the following facts for a Clifford surface of every type in the space H^3. A curve on a Clifford surface of the space H^3 is a helix if and only if it is a loxodrome. If a helix ξ on a Clifford surface of the space H^3 contains opposite vertices of the coordinate rectangle of the basic coordinate network, then the helix ξ divides this coordinate rectangle into two parts of equal areas. The absolute points of the hyperbolic axis of a Clifford surface in the space H3 are poles of each loxodrome on this surface.
Добавил в систему: Ромакина Людмила Николаевна

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