CANONICAL ALMOST GEODESIC MAPPINGS π2(e), e = ±1, OF SPACES WITH AFFINE CONNECTION ONTO m-SYMMETRIC SPACES

CANONICAL ALMOST GEODESIC MAPPINGS π2(e), e = ±1, OF SPACES WITH AFFINE CONNECTION ONTO m-SYMMETRIC SPACES

In the paper we consider canonical almost geodesic mappings π2 (e), e = ± 1, of spaces with affine connection onto 2-symmetric, 3-symmetric and m-symmetric spaces. The main equations for the mappings have been obtained as closed systems of PDEs of Cauchy type in covariant derivatives. We have found...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2023-01, Vol.24 (1), p.93-104
Hauptverfasser: Berezovski, Volodymyr, Bacsó, Sándor, Cherevko, Yevhen, Mikes, Josef
Format: Artikel
Sprache:eng
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Zusammenfassung:In the paper we consider canonical almost geodesic mappings π2 (e), e = ± 1, of spaces with affine connection onto 2-symmetric, 3-symmetric and m-symmetric spaces. The main equations for the mappings have been obtained as closed systems of PDEs of Cauchy type in covariant derivatives. We have found the maximum numbers of essential parameters which the general solutions of the systems depend on.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2023.3965