Canonical f-planar mappings of spaces with affine connection onto 3-symmetric spaces
Filomat, Tome 37 (2023) no. 20, p. 6835
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We consider canonical F-planar mappings of spaces with affine connection onto 3-symmetric spaces. The main equations for the mappings have been obtained as a closed system of PDEs of Cauchy type in covariant derivatives. We have found the maximum numbers of essential parameters which the general solution of the system depends on.
Classification :
53B05, 53B35
Keywords: F-planar mapping, Space with affine connection, Symmetric space, 2-symmetric space, 3-symmetric space
Keywords: F-planar mapping, Space with affine connection, Symmetric space, 2-symmetric space, 3-symmetric space
Patrik Peška; Vladimir Berezovski; Yevhen Cherevko; Miloš Z Petrović. Canonical f-planar mappings of spaces with affine connection onto 3-symmetric spaces. Filomat, Tome 37 (2023) no. 20, p. 6835 . doi: 10.2298/FIL2320835P
@article{10_2298_FIL2320835P,
author = {Patrik Pe\v{s}ka and Vladimir Berezovski and Yevhen Cherevko and Milo\v{s} Z Petrovi\'c},
title = {Canonical f-planar mappings of spaces with affine connection onto 3-symmetric spaces},
journal = {Filomat},
pages = {6835 },
year = {2023},
volume = {37},
number = {20},
doi = {10.2298/FIL2320835P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320835P/}
}
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