Results 181 to 190 of about 24,975 (207)

Hessian Manifolds and Convexity

1981
Let 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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A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Results in Mathematics, 2019
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Bang-Yen Chen, Adela Mihai, Ion Mihai
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Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

2019
In 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, Kamran Ahmad, Cenap Özel   +2 more
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A survey on curvatures of Hessian manifolds

Chaos, Solitons & Fractals, 2008
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Yilmaz, Münevver Yildirim, Bektaş, Mehmet   +1 more
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INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE

2006
We will use the same notation and terminologies as in [1] unless otherwise stated. Let M be a flat affine manifold with flat affine connection D. Among Riemannian metrics on M there exists an important class of Riemannian metrics compatible with the flat affine connection D.
BEKTAS, M., YILDIRIM, M.
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On Hessian Structures on an Affine Manifold

1981
On 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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iHRNL: Iterative Hessian-based manifold regularization mechanism for localization in WSN

Journal of Supercomputing, 2021
Abhishek, Rakesh Kumar Yadav, Shekhar Verma   +2 more
exaly  

Generic Perturbations of Riemannian Hessian Manifolds

2023
Louis Okechukwu Omenyi, Kenneth Uda
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HesGCN: Hessian graph convolutional networks for semi-supervised classification

Information Sciences, 2020
Fu Sichao, Weifeng Liu, Dapeng Tao
exaly  

Operator-Valued Formulas for Riemannian Gradient and Hessian and Families of Tractable Metrics in Riemannian Optimization

Journal of Optimization Theory and Applications, 2023
Du Nguyen
exaly