Harmonic and Projective Diffeomorphisms

Степанов, С. Е.; Shandra, I. G.; Mikeš, Josef

doi:10.1007/s10958-015-2388-3

Cited by 11 publications

(2 citation statements)

References 24 publications

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“…The equation (39) means that {ã,ã} = e G. Hence if (a, λ, µ) is the corresponding solution of the system (4), (7), (8) on the V n (K)-space (K = 0) then taking into account (33), (34), (35) we get (36), (37), (38). As mentioned above concircular fields generate a solution of the equation (2).…”

Section: Remarkmentioning

confidence: 99%

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Shandra

Mikeš

2019

Mathematics

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In the present paper we study geodesic mappings of special pseudo-Riemannian manifolds called Vn(K)-spaces. We prove that the set of solutions of the system of equations of geodesic mappings on Vn(K)-spaces (K = 0) forms a special Jordan algebra and the set of solutions generated by consircular fields is an ideal of this algebra. We show that pseudo-Riemannian manifolds admitting a concircular field of the basic type form the class of manifolds closed with respect to the geodesic mappings.

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Section: Remarkmentioning

confidence: 99%

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Shandra

Mikeš

2019

Mathematics

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“…Специальные отображения симметрических пространств и им близкие проблемы изучались, например, в [1,2,17,29,30,34,39,40].…”

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Симметрические, Полусимметрические И Рекуррентные Проективно Евклидовы Пространства

Сабыканов¹,

Mikeš²,

Пешка³

et al. 2020

Итоги науки и техники. Серия «Современная математика и ее прило

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В настоящей статье изложены некоторые результаты, полученные для симметрических, полусимметрических и полусимметрических рекуррентных проективно-евклидовых пространств. Найдены компоненты объектов аффинной связности изучаемых пространств.

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Rotary Mappings of Equidistant Spaces

Vítková

2024

Springer Proceedings in Mathematics &Amp; Statistics

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Harmonic and Projective Diffeomorphisms

Abstract: This article is devoted to a review of the results of the local and global geometries of harmonic and projective diffeomorphisms of Riemannian manifolds. CONTENTS

Cited by 11 publications

References 24 publications

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Симметрические, Полусимметрические И Рекуррентные Проективно Евклидовы Пространства

Rotary Mappings of Equidistant Spaces

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