Results 41 to 50 of about 425,328 (236)
On semi-symmetric metric connection in sub-Riemannian manifold
, 2016 The authors firstly in this paper define a semi-symmetric metric non-holonomic connection (in briefly, SS-connection) on sub-Riemannian manifolds. An invariant under a SS-connection transformation is obtained.
Yanling Han, Fengyun Fu, P. Zhao
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On CR-lightlike submanifolds in a golden semi-Riemannian manifold
AIMS MathematicsCR-lightlike submanifolds of a golden semi-Riemannian manifold are the focus of the research presented in this work, which aims to define and investigate these structures. Under the context of a golden semi-Riemannian manifold, we study the properties of
Mohammad Aamir Qayyoom +2 more
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On some classes of mixed-super quasi-Einstein manifolds
Acta Universitatis Sapientiae: Mathematica, 2016 Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalizations of Einstein manifold. The purpose of this paper is to study the mixed super quasi-Einstein manifold which is also the generalizations of Einstein manifold satisfying ...
Dey Santu +2 more
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A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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Probability Distribution-Based Dimensionality Reduction on Riemannian Manifold of SPD Matrices
IEEE Access, 2020 Representing images and videos with Symmetric Positive Definite (SPD) matrices and utilizing the intrinsic Riemannian geometry of the resulting manifold has proved successful in many computer vision tasks.
Jieyi Ren, Xiao-Jun Wu
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Warped Riemannian metrics for location-scale models
, 2017 The present paper shows that warped Riemannian metrics, a class of Riemannian metrics which play a prominent role in Riemannian geometry, are also of fundamental importance in information geometry.
A Terras +42 more
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Optimality and Duality on Riemannian Manifolds
Taiwanese Journal of Mathematics, 2018 Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature.
Ruiz-Garzón, Gabriel +3 more
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Weakly Convex Optimization over Stiefel Manifold Using Riemannian Subgradient-Type Methods
SIAM Journal on Optimization, 2019 We consider a class of nonsmooth optimization problems over the Stiefel manifold, in which the objective function is weakly convex in the ambient Euclidean space. Such problems are ubiquitous in engineering applications but still largely unexplored.
Xiao Li +5 more
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Principal Boundary on Riemannian Manifolds [PDF]
Journal of the American Statistical Association, 2019 We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold within the higher-dimensional ambient space, we aim to acquire a classification boundary for the classes with labels, using the intrinsic metric on the manifolds.
Zhigang Yao, Zhenyue Zhang
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Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric
پژوهشهای ریاضی, 2020 Introduction An -dimensional Riemannian manifold is said to be flat (or locally Euclidean) if locally isometric with the Euclidean space, that is, admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi +1 more
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