Canonical F-planar mappings of spaces with affine connection onto 3-symmetric spaces

Author:

Peska Patrik1,Berezovski Vladimir2,Cherevko Yevhen3,Petrovic Milos4ORCID

Affiliation:

1. Faculty of Science, Palacký University in Olomouc, Olomouc, Czech Republic

2. Uman National University of Horticulture, Uman, Ukraine

3. cherevko@usa.com

4. University of Niš, Facutly of Agriculture in Kruševac, Kruševac, Serbia

Abstract

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.

Funder

Ministry of Education, Science and Technological Development of the Republic of Serbia

Publisher

National Library of Serbia

Reference40 articles.

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2. V.E. Berezovski, J. Mikeš, On the classification of almost geodesic mappings of affine-connected spaces. In Proceedings of the Differential Geometry and Applications Conference, Dubrovnik, Yugoslavia, 26 June-3 July 1988, pp. 41-48.

3. V.E. Berezovski, J. Mikeš, On a classification of almost geodesic mappings of affine connection spaces.Acta Univ. Palacki. Olomuc. Math. 35 (1996) 21-24.

4. V.E. Berezovski, S. Bácsó, J. Mikeš, Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature, Ann. Math. Inf. 45 (2015) 3-10.

5. V.E. Berezovskii, N.I. Guseva, J. Mikeš, On special first-type almost geodesic mappings of affine connection spaces preserving a certain tensor, Math. Notes 98 (2015) 515-518.

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