Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space

Nenad O. Vesić, Dušan J. Simjanović and Branislav M. Randjelović ()
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Nenad O. Vesić: Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
Dušan J. Simjanović: Faculty of Informational Technology, Metropolitan Univeristy, 18116 Nis, Serbia
Branislav M. Randjelović: Faculty of Electronic Engineering, University of Nis, 18000 Nis, Serbia

Mathematics, 2024, vol. 12, issue 15, 1-14

Abstract: This paper presents the results concerning a space of invariants for second type almost geodesic mappings. After discussing the general formulas of invariants for mappings of symmetric affine connection spaces, based on these formulas, invariants for second type almost geodesic mappings of symmetric affine connection spaces and Riemannian spaces are obtained, as well as their mutual connection. Also, one invariant of Thomas type and two invariants of Weyl type for almost geodesic mappings of the second type were attained.

Keywords: affine connection space; Riemannian space; almost geodesic mappings; invariants (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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