A note on F-planar mappings of manifolds with non-symmetric linear connection

DOI10.1142/S0219887819500786zbMath1422.53013OpenAlexW2921245075WikidataQ128219139 ScholiaQ128219139MaRDI QIDQ5232440

Mića S. Stanković, Miloš Z. Petrović

Publication date: 3 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819500786

zbMATH Keywords

Lie derivativemanifold with non-symmetric linear connectioninfinitesimal \(F\)-planar transformation

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20) Linear and affine connections (53B05)

Related Items (4)

Geometries for a mutual connection of semi-symmetric metric recurrent connections ⋮ Generalized almost Hermitian spaces and holomorphically projective mappings ⋮ Generalized para-Kähler spaces in Eisenhart’s sense admitting a holomorphically projective mapping ⋮ On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold

Cites Work

• Holomorphically projective mappings between generalized hyperbolic Kähler spaces
• Infinitesimal rigidity and flexibility of a non-symmetric affine connection space
• Infinitesimal \(F\) -planar transformations
• Some invariants of holomorphically projective mappings of generalized Kählerian spaces
• Generalized Kähler spaces in Eisenhart's sense admitting a holomorphically projective mapping
• A new type of generalized para-Kähler spaces and holomorphically projective transformations
• Special almost geodesic mappings of the first type of non-symmetric affine connection spaces
• Fundamental equations of \(F\)-planar mappings
• Special almost geodesic mappings of the second type between generalized Riemannian spaces
• On Equitorsion Holomorphically Projective Mappings of Generalized Kählerian Spaces
• Canonical almost geodesic mappings of type $\underset\theta\pi{}_2(0,F)$, ${\small\theta\in\{1,2\}}$ between generalized parabolic K\"ahler manifolds
• Holomorphically projective mappings between generalized m-parabolic Kähler manifolds
• On almost geodesic mappings of the second type between manifolds with non-symmetric linear connection
• Certain properties of generalized Einstein spaces
• Generalized Riemann Spaces
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