Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
We study a class of affine manifolds equipped with a flat affine connection $\nabla$ and a global Riemannian metric $g$ that is diagonal in local affine coordinates. These structures are closely related to \emph{Hessian manifolds}, where the metric locally arises as the Hessian of a smooth potential.
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Cartan structure equations and Levi-Civita connection in noncommutative geometry
v3 56pp. Added: 1) explicit expression of Levi-Civita connection 2) tensor square of Sweedler Hopf alg. as Einstein manifold with non-central metric. Improved introduction. Old Rmks 2.6 & 2.8 & proof of Thm. 4.8 dropped, proofs of Thm. 2.5, Prop. 3.7, Lem. 4.2 shortened. v2 54pp. Completed diff. & Cartan calculus plus ex.
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SEMI-SYMMETRIC NON-METRIC CONNECTIONS ON KENMOTSU MANIFOLDS
The object of the present paper is to study a type of semi-symmetric nonmetric connection on a Kenmotsu manifold.
AJIT BARMAN, U. C. DE
doaj
Non-Metricity in Information Geometry. [PDF]
Wada T, Scarfone AM.
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Stringy Corrections to Heterotic SU(3)-Geometry. [PDF]
McOrist J, Picard S.
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Invariance Principle for Lifts of Geodesic Random Walks. [PDF]
Junné J, Redig F, Versendaal R.
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Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]
Sherry FM, Schaefer K, Duits R.
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Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Decu S, Vîlcu GE.
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Levi-Civita and Hermitian connections of a Hermitian metric
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Gradient Systems and Asymmetric Relaxations in View of Riemannian Geometry. [PDF]
Bravetti A +2 more
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