On canonical F-planar mappings of spaces with affine connection | Zendy

Volodymyr Berezovski | Zendy; Josef Mikeš | Zendy; Patrik Peška | Zendy; Lenka Rýparová | Zendy

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On canonical F-planar mappings of spaces with affine connection

Author(s) -

Volodymyr Berezovski,

Josef Mikeš,

Patrik Peška,

Lenka Rýparová

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904273b

Subject(s) - mathematics , connection (principal bundle) , affine connection , affine transformation , covariant transformation , pure mathematics , planar , mathematical analysis , curvature , mathematical physics , geometry , computer graphics (images) , computer science

In this paper we study the theory of F-planar mappings of spaces with affine connection. We obtained condition, which preserved the curvature tensor. We also studied canonical F-planar mappings of space with affine connection onto symmetric spaces. In this case, the main equations have the partial differential Cauchy type form in covariant derivatives. We got the set of substantial real parameters on which depends the general solution of that PDE?s system.

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