THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE

THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE

The paper examines geometric and algebraic properties of locally symmetric differential affine-connected manifolds of constant positive curvature by the example of spheres. The identities in a geodesic loop of spherical spaces are discussed, homotheties, geodesic symmetries and parallel translations...

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Main Authors: Марченко Татьяна Андреевна, Матвеев Олег Александрович, Птицына Инга Вячеславовна
Format: Article
Language:Russian
Published: Moscow Region State University Editorial Office 2017-05-01
Series:Вестник московского государственного областного университета. Серия: Физика-математика
Online Access:http://vestnik-mgou.ru/Articles/View/11919
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spelling doaj-fcc51cd434324d75a5b69f89b5303ba02020-11-25T02:54:57ZrusMoscow Region State University Editorial OfficeВестник московского государственного областного университета. Серия: Физика-математика2310-72512017-05-01461310.18384/2310-7251-2017-4-6-13THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHEREМарченко Татьяна АндреевнаМатвеев Олег Александрович0Птицына Инга ВячеславовнаМосковский государственный областной университетThe paper examines geometric and algebraic properties of locally symmetric differential affine-connected manifolds of constant positive curvature by the example of spheres. The identities in a geodesic loop of spherical spaces are discussed, homotheties, geodesic symmetries and parallel translations are described in the local coordinate system which is common with a locally flat space with affine connection.http://vestnik-mgou.ru/Articles/View/11919
collection DOAJ
language Russian
format Article
sources DOAJ
author Марченко Татьяна Андреевна
Матвеев Олег Александрович
Птицына Инга Вячеславовна
spellingShingle Марченко Татьяна Андреевна
Матвеев Олег Александрович
Птицына Инга Вячеславовна
THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
Вестник московского государственного областного университета. Серия: Физика-математика
author_facet Марченко Татьяна Андреевна
Матвеев Олег Александрович
Птицына Инга Вячеславовна
author_sort Марченко Татьяна Андреевна
title THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
title_short THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
title_full THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
title_fullStr THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
title_full_unstemmed THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
title_sort local projective flat model of the sphere
publisher Moscow Region State University Editorial Office
series Вестник московского государственного областного университета. Серия: Физика-математика
issn 2310-7251
publishDate 2017-05-01
description The paper examines geometric and algebraic properties of locally symmetric differential affine-connected manifolds of constant positive curvature by the example of spheres. The identities in a geodesic loop of spherical spaces are discussed, homotheties, geodesic symmetries and parallel translations are described in the local coordinate system which is common with a locally flat space with affine connection.
url http://vestnik-mgou.ru/Articles/View/11919
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AT pticynaingavâčeslavovna thelocalprojectiveflatmodelofthesphere
AT marčenkotatʹânaandreevna localprojectiveflatmodelofthesphere
AT matveevolegaleksandrovič localprojectiveflatmodelofthesphere
AT pticynaingavâčeslavovna localprojectiveflatmodelofthesphere
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