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2024 | OriginalPaper | Chapter

Fundamental Equations on Conformal Fedosov Spaces

Authors : Chakibek Almazbekov, Nadezda Guseva, Josef Mikeš

Published in: Differential Geometric Structures and Applications

Publisher: Springer Nature Switzerland

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Abstract

The present work is devoted to the study of the basic equations of conformally Fedosov structures. These equations are obtained in the form of closed linear equations in covariant derivatives of the Cauchy type. It is established that the general solution depends on no more than \(1/2n(n + 1)\) numerical parameters. The maximum is achieved in projectively Euclidean spaces. Estimates are found for these equations’ dependence on spaces that are not projectively Euclidean.

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previous chapter On General Solutions of Sinyukov Equations on Two-Dimensional Equidistant (pseudo-)Riemannian Spaces

next chapter Rotary Mappings of Equidistant Spaces

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Title: Fundamental Equations on Conformal Fedosov Spaces
Authors: Chakibek Almazbekov
Nadezda Guseva
Josef Mikeš
Publisher: Springer Nature Switzerland
Book: Differential Geometric Structures and Applications
Print ISBN: 978-3-031-50585-0

Electronic ISBN: 978-3-031-50586-7

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-50586-7_10

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