Results 11 to 20 of about 1,924 (155)

A Quantum-Behaved Particle Swarm Optimization Algorithm on Riemannian Manifolds

Mathematics, 2022
The Riemannian manifold optimization algorithms have been widely used in machine learning, computer vision, data mining, and other technical fields. Most of these algorithms are based on the geodesic or the retracement operator and use the classical ...
Yeerjiang Halimu, Chao Zhou, Qi You, Jun Sun   +3 more
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On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds

Дифференциальная геометрия многообразий фигур, 2023
We mark out the most important results obtained by outstanding Rus­sian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
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Almost Bronze Structures on Differentiable Manifolds

Journal of Mathematics, 2022
This study introduces a novel structure that is not included in the metallic structure family. This new structure, which is called an almost bronze structure, has been defined using a 1,1 type tensor field φ which fulfills the requirement φ2=mφ−Id on a ...
Mustafa Özkan, Seher Doğan
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Affine transformations of the tangent bundle with a complete lift connection over a manifold with a linear connection of special type

Дифференциальная геометрия многообразий фигур, 2021
The theory of tangent bundles over a differentiable manifold M be­longs to the geometry and topology of manifolds and is an intensively developing area of the theory of fiber spaces. The foundations of the theo­ry of fibered spaces were laid in the works
A. Ya. Sultanov, G.A. Sultanova, N.V. Sadovnikov   +2 more
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Positively Continuum-Wise Expansiveness for C¹ Differentiable Maps

Mathematics, 2019
We show that if a differentiable map f of a compact smooth Riemannian manifold M is C 1 robustly positive continuum-wise expansive, then f is expanding.
Manseob Lee
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Manifolds of differentiable densities [PDF]

ESAIM: Probability and Statistics, 2018
We develop a family of infinite-dimensional (non-parametric) manifolds of probability measures. The latter are defined on underlying Banach spaces, and have densities of class Cbk with respect to appropriate reference measures. The case k = ∞, in which the manifolds are modelled on Fréchet spaces, is included.
openaire   +4 more sources

Complete lift of a structure satisfying FK−(−)K+1F=0

International Journal of Mathematics and Mathematical Sciences, 1992
The idea of f-structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others.
Lovejoy S. Das
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Centered planes in the projective connection space

Дифференциальная геометрия многообразий фигур, 2020
The space of centered planes is considered in the Cartan projec­ti­ve connection space . The space is important because it has con­nec­tion with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
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Stochastic Differential Equations in a Differentiable Manifold [PDF]

Nagoya Mathematical Journal, 1950
The theory of stochastic differential equations in a differentiate manifold has been established by many authors from different view-points, especially by R Lévy [2], F. Perrin [1], A. Kolmogoroff [1] [2] and K. Yosida [1] [2]. It is the purpose of the present paper to discuss it by making use of stochastic integrals.
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Proximal Point Algorithm with Euclidean Distance on the Stiefel Manifold

Mathematics, 2023
In this paper, we consider the problem of minimizing a continuously differentiable function on the Stiefel manifold. To solve this problem, we develop a geodesic-free proximal point algorithm equipped with Euclidean distance that does not require use of ...
Harry Oviedo
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