Results 1 to 10 of about 5,115 (226)
Information Submanifold Based on SPD Matrices and Its Applications to Sensor Networks
Entropy, 2017 In this paper, firstly, manifoldPD(n)consisting of alln×nsymmetric positive-definite matrices is introduced based on matrix information geometry; Secondly, the geometrical structures of information submanifold ofPD(n)are presented including metric ...
Huafei Sun, Sun Huafei
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HOLONOMY AND SUBMANIFOLD GEOMETRY [PDF]
, 2002 The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE' +2 more
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Mihai Ion
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A Kernel Based Neighborhood Discriminant Submanifold Learning for Pattern Classification
Journal of Applied Mathematics, 2014 We propose a novel method, called Kernel Neighborhood Discriminant Analysis (KNDA), which can be regarded as a supervised kernel extension of Locality Preserving Projection (LPP).
Xu Zhao
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A new multimodal planning algorithm based on PRM [PDF]
ITM Web of Conferences, 2022 The robot motion planning problem has a unique multimodal structure, where the space of feasible configuration consists of intersecting submanifolds.
Qin Huanchang +5 more
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Submanifolds of Almost-Complex Metallic Manifolds
Mathematics, 2023 Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun, Mustafa Özkan
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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An Algebraic Inequality with Applications to Certain Chen Inequalities
Axioms, 2021 We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space forms.
Ion Mihai, Radu-Ioan Mihai
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Automorphisms of Submanifolds [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
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