On Canonical Almost Geodesic Mappings of Type ? 2 ( e )

Volodymyr Berezovski, Josef Mikeš, Lenka Rýparová and Almazbek Sabykanov
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Volodymyr Berezovski: Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine
Josef Mikeš: Department of Algebra and Geometry, Palacký University in Olomouc, 771 46 Olomouc, Czech Republic
Lenka Rýparová: Department of Algebra and Geometry, Palacký University in Olomouc, 771 46 Olomouc, Czech Republic
Almazbek Sabykanov: Department of Algebra, Geometry, Topology and high Mathematics, Kyrgyz National University of Jusup Balasagyn, 720033 Bishkek, Kyrgyzstan

Mathematics, 2020, vol. 8, issue 1, 1-8

Abstract: In the paper, we consider canonical almost geodesic mappings of type π 2 ( e ) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor. Furthermore, we consider canonical almost geodesic mappings of type π 2 ( e ) of spaces with affine connections onto symmetric spaces. The main equations for the mappings are obtained as a closed mixed system of Cauchy-type Partial Differential Equations. We have found the maximum number of essential parameters which the solution of the system depends on.

Keywords: canonical almost geodesic mappings; Cauchy-type PDEs; Riemann tensor; symmetric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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