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Volume 12
Issue 15
10.3390/math12152329
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

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

by
Nenad O. Vesić
1,†,
Dušan J. Simjanović
2,† and
Branislav M. Randjelović
3,4,*,†
1
Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
2
Faculty of Informational Technology, Metropolitan Univeristy, 18116 Nis, Serbia
3
Faculty of Electronic Engineering, University of Nis, 18000 Nis, Serbia
4
Faculty of Teachers Education, University of K. Mitrovica, 38218 Leposavić, Serbia
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2024, 12(15), 2329; https://doi.org/10.3390/math12152329 (registering DOI)
Submission received: 19 June 2024 / Revised: 12 July 2024 / Accepted: 22 July 2024 / Published: 25 July 2024
(This article belongs to the Special Issue Differentiable Manifolds and Geometric Structures)
Versions Notes

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 affine connection space; Riemannian space; almost geodesic mappings; invariants

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MDPI and ACS Style

Vesić, N.O.; Simjanović, D.J.; Randjelović, B.M. Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space. Mathematics 2024, 12, 2329. https://doi.org/10.3390/math12152329

AMA Style

Vesić NO, Simjanović DJ, Randjelović BM. Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space. Mathematics. 2024; 12(15):2329. https://doi.org/10.3390/math12152329

Chicago/Turabian Style

Vesić, Nenad O., Dušan J. Simjanović, and Branislav M. Randjelović. 2024. "Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space" Mathematics 12, no. 15: 2329. https://doi.org/10.3390/math12152329

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