On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings

Simjanović, Dušan; Randjelović, Branislav; Vujadinović, Djordjije; Djurišić, Ivana; Vesić, Nenad; Vlahović, Branislav

doi:10.3390/math14122108

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On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings

by

Dušan Simjanović

^1,*

,

Branislav Randjelović

^2,*

,

Djordjije Vujadinović

³

,

Ivana Djurišić

⁴

,

Nenad Vesić

⁵

and

Branislav Vlahović

⁶

¹

Faculty of Information Technology, Belgrade Metropolitan University, 11158 Belgrade, Serbia

²

Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia

³

Faculty of Natural Science and Mathematics, University of Montenegro, 81000 Podgorica, Montenegro

⁴

Institute for Multidisciplinary Research, University of Belgrade, 11000 Belgrade, Serbia

⁵

Mathematical Institute of Serbian Academy of Sciences and Arts, University of Belgrade, 11000 Belgrade, Serbia

⁶

Department of Physics, North Carolina Central University, Durham, NC 27707, USA

^*

Authors to whom correspondence should be addressed.

Mathematics 2026, 14(12), 2108; https://doi.org/10.3390/math14122108 (registering DOI)

Submission received: 15 May 2026 / Revised: 9 June 2026 / Accepted: 11 June 2026 / Published: 12 June 2026

(This article belongs to the Special Issue Geometric Topology and Differential Geometry with Applications)

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Abstract

This paper investigates novel transformations of affine connections and the derivation of their corresponding invariants within the framework of differential geometry. Drawing inspiration from previously established

(\bar{m}, m)

-conformal mappings, we introduce a generalized class of these transformations. We successfully derive three fundamental invariants for this class. To demonstrate the geometric significance of these structures, we examine their implications within the calculus of variations. Finally, we provide potential physical interpretations of the obtained results, suggesting their relevance in theoretical physics.

Keywords: Riemannian space; mapping; invariant; action; variation; Einstein’s equations

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MDPI and ACS Style

Simjanović, D.; Randjelović, B.; Vujadinović, D.; Djurišić, I.; Vesić, N.; Vlahović, B. On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings. Mathematics 2026, 14, 2108. https://doi.org/10.3390/math14122108

AMA Style

Simjanović D, Randjelović B, Vujadinović D, Djurišić I, Vesić N, Vlahović B. On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings. Mathematics. 2026; 14(12):2108. https://doi.org/10.3390/math14122108

Chicago/Turabian Style

Simjanović, Dušan, Branislav Randjelović, Djordjije Vujadinović, Ivana Djurišić, Nenad Vesić, and Branislav Vlahović. 2026. "On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings" Mathematics 14, no. 12: 2108. https://doi.org/10.3390/math14122108

APA Style

Simjanović, D., Randjelović, B., Vujadinović, D., Djurišić, I., Vesić, N., & Vlahović, B. (2026). On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings. Mathematics, 14(12), 2108. https://doi.org/10.3390/math14122108

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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On\({(\bar m,m)}\)-Conformal \({(\bar F,F)}\)-Mappings

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