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Integrated Optomechanical Analysis of the Impact of an Ø 800 mm Primary Mirror on the Imaging Quality of an Optical System. [PDF]
Liu R, Zhang Y, Liu Y, Li Q.
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SEMI-SYMMETRIC MIRON CONNECTIONS IN DUAL FINSLER SPACES
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Concircularly semi-symmetric metric connection
Quaestiones Mathematicae, 2023Results on a concircularly semi-symmetric metric connection on a Riemannian manifold are presented. Six linearly independent curvature tensors with respect to this non-symmetric linear connection are studied, and the tensors coincident with the Weyl projective curvature tensor and the concircular curvature tensor of the Levi-Civita connection are
Maksimovic, Miroslav D. +3 more
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Semi-Riemannian manifold with semi-symmetric connections
Journal of Geometry and Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zangiabadi, Elham, Nazari, Zohreh
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Invariants of special semi-symmetric Finsler connection transformations
Publicationes Mathematicae Debrecen, 2022In Finsler spaces, Proc. 3rd Natl. Semin., Braşov/Roum. 1984, 161-165 (1984; Zbl 0553.53039) the first author determined in explicit form all Finsler connection transformations \(t: F\Gamma (N,F,C)\to F{\bar \Gamma}(\bar N=N,\bar F,\bar C)\) having invariants \(I_ 1\), \(I_ 2\), whose vanishing means the semi-symmetricity of the Finsler connections ...
Stavre, Petre, Klepp, Francisc C.
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Periodica Mathematica Hungarica, 1990
Let \(\nabla\) be a linear connection on M (dim M\(>2)\) and \(\pi\) be a 1- form, R and T the curvature and torsion tensors of \(\nabla\). It is proved that: a) For a \(\pi\)-semisymmetric \(\nabla\) \((T(X,Y)=\pi (Y)X-\pi (X)Y)\) the following statements are equivalent: (i) \(d\pi =0\), \((ii)\quad \sigma_{(X,Y,Z)}\{R(X,Y)Z\}=0,\) \((iii)\quad ...
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Let \(\nabla\) be a linear connection on M (dim M\(>2)\) and \(\pi\) be a 1- form, R and T the curvature and torsion tensors of \(\nabla\). It is proved that: a) For a \(\pi\)-semisymmetric \(\nabla\) \((T(X,Y)=\pi (Y)X-\pi (X)Y)\) the following statements are equivalent: (i) \(d\pi =0\), \((ii)\quad \sigma_{(X,Y,Z)}\{R(X,Y)Z\}=0,\) \((iii)\quad ...
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Semi-symmetric non-metric connections on statistical manifolds
Journal of Geometry and Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on derived connections from semi-symmetric metric connections
Mathematica Slovaca, 2017Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find
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