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On projective motions of five-dimensional spaces of special form
Authors
Aminova A.
Khakimov D.
Publication date
1 January 2017
Publisher
Abstract
© 2017, Allerton Press, Inc.The paper is devoted to the problem of determining of 5-dimensional pseudo-Riemannian manifolds (M, g) admitting projective motions (h-spaces). A similar problem for n-dimensional proper Riemannian and Lorentz spaces was solved by Levi-Civita, Solodovnikov, Petrov and Aminova. For pseudo-Riemannian manifolds of arbitrary signature and dimension the problem of their classification in Lie algebras and Lie groups of projective transformations, set more than a hundred years ago, is still open. In this paper five-dimensional h-spaces of the type {221} are determined using the method of skew-normal frame (Aminova) and necessary and sufficient conditions for the existence of projective motions of the same type are established
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Kazan Federal University Digital Repository
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oai:dspace.kpfu.ru:net/114490
Last time updated on 07/05/2019
Kazan Federal University Digital Repository
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:dspace.kpfu.ru:net/143436
Last time updated on 07/05/2019