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Fractional Sobolev spaces on Riemannian manifolds. [PDF]

Math Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source

Characterization of Second-Order Mixing Effects in Reconstructed Cross-Spectra of Random Neural Fields. [PDF]

Brain Topogr
Hindriks R.
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A Study of Non-Linear Manifold Feature Extraction in Spike Sorting. [PDF]

Neuroinformatics
Ardelean ER, Portase R.
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A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Results in Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bang-Yen Chen, Adela Mihai, Ion Mihai
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Self-similar Hessian and conformally Kähler manifolds

Annals of Global Analysis and Geometry, 2022
This paper is devoted to the study of self-similar Hessian and special Kähler manifolds. Recall that a Hessian manifold is an affine manifold with a Riemannian metric which is locally equivalent to the Hessian of a function. Any Kähler metric can be locally defined as a complex Hessian \(\partial \bar{\partial}\varphi\).
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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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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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