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Notes on the Jellinek-Berry Thermostated Ideal Gas. [PDF]
Butler LT, Sharifi A.
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Segmentation and modeling of large-scale microvascular networks: a survey. [PDF]
Goharbavang H +5 more
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Ricci Curvature Tensor-Based Volumetric Segmentation. [PDF]
Huang J, Chen K, Alpers A, Lei N.
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MIAAIM: Multi-omics image integration with dimensional reduction for tissue state mapping. [PDF]
Hess JM +18 more
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On Hessian Structures on an Affine Manifold
1981On a smooth manifold, an affine connection whose torsion and curvature vanish identically is called an affine structure. A smooth manifold provided with an affine structure is called an affine manifold. Let M be an affine manifold with an affine structure D. The co-variant differentiation by D will be also denoted by D.
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Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
2019In the present paper, we study Hessian and Einstein-Hessian manifolds with some examples. We establish optimizations of the intrinsic invariant (normalized scalar curvature) for a new extrinsic invariant (generalized normalized Casorati curvatures) on statistical submanifolds in a Hessian manifold of constant Hessian curvature by using algebraic ...
Aliya Naaz Siddiqui +2 more
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A survey on curvatures of Hessian manifolds
Chaos, Solitons & Fractals, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yilmaz, Münevver Yildirim +1 more
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Hessian Manifolds and Convexity
1981Let M be a flat affine manifold, that is, M admits open charts (Ui, x i 1 ,..., x i n such that M =U Ui and whose coordinate changes are all affine functions. Such local coordinate systems { i n ,...,x i n } will be called affine local coordinate systems.
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