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Open AccessArticle

On Canonical Almost Geodesic Mappings of Type π2(e)

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Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine
2
Department of Algebra and Geometry, Palacký University in Olomouc, 771 46 Olomouc, Czech Republic
3
Department of Algebra, Geometry, Topology and high Mathematics, Kyrgyz National University of Jusup Balasagyn, 720033 Bishkek, Kyrgyzstan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 54; https://doi.org/10.3390/math8010054
Received: 14 November 2019 / Revised: 19 December 2019 / Accepted: 24 December 2019 / Published: 1 January 2020
(This article belongs to the Special Issue Differential Geometry of Spaces with Structures)
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. View Full-Text
Keywords: canonical almost geodesic mappings; Cauchy-type PDEs; Riemann tensor; symmetric space canonical almost geodesic mappings; Cauchy-type PDEs; Riemann tensor; symmetric space
MDPI and ACS Style

Berezovski, V.; Mikeš, J.; Rýparová, L.; Sabykanov, A. On Canonical Almost Geodesic Mappings of Type π2(e). Mathematics 2020, 8, 54.

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