Invariant Geometric Objects of the Equitorsion Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense

Vladislava M. Milenković, Mića S. Stanković () and Nenad O. Vesić
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Vladislava M. Milenković: Faculty of Technology, University of Niš, Bulevar Oslobodjenja 124, 16000 Leskovac, Serbia
Mića S. Stanković: Faculty of Sciences and Mathematics, University of Nis, Višegradska 33, 18000 Niš, Serbia
Nenad O. Vesić: Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia

Mathematics, 2025, vol. 13, issue 8, 1-11

Abstract: The study of the equitorsion biholomorphically projective mappings between two generalized Riemannian spaces in the sense of Eisenhart’s definition is continued. Some new invariant geometric objects of an equitorsion canonical biholomorphically projective mapping are found, as well as some relations between these objects. At the end, the linear independence of the obtained invariants is examined.

Keywords: equitorsion quasi-canonical biholomorphically projective mapping; generalized Riemannian space; invariant geometric object; linear independence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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