Almost geodesic mappings of type π1* of spaces with affine connection-Reference-Cited by-同舟云学术

Almost geodesic mappings of type π1* of spaces with affine connection

Published:2021 Issue: Volume:52 Page:30-36
ISSN:2704-4963
Container-title:Mathematica Montisnigri
language:en
Short-container-title:MathMon

Author:

Berezovskii Volodymyr Evgenyevich¹^ORCID,Mikeš Josef²^ORCID,Radulović Željko³^ORCID

Affiliation:

1. Uman National University of Horticulture, Uman, Ukraine

2. Palacky University, Olomouc, Czech Republic

3. Ministry of Foreign Affairs of Montenegro, Podgorica, Montenegro

Abstract

We consider almost geodesic mappings π1* of spaces with affine connections. This mappings are a special case of first type almost geodesic mappings. We have found the objects which are invariants of the mappings π1*. The fundamental equations of these mappings are in Cauchy form. We study π1* mappings of constant curvature spaces.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference18 articles.

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3. M. Prvanović, “A note on holomorphically projective transformations of the Kählerian spaces”, Tensor, 35, 99–104 (1981).

4. J. Mikeš et al., Differential Geometry of Special Mappings, Palacky Univ. Press, Olomouc, 1 ed. (2015), 2 ed. (2019).

5. V.E. Berezovski, I. Hinterleitner and J. Mikeš, “Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds”, Filomat, 32(2), 379–385 (2018).

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