Results 31 to 40 of about 425,278 (191)

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
doaj   +1 more source

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
doaj   +1 more source

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, AW Knapp, B O’Neill, B Unal, C Atkinson, D Wierstra, DG Luenbeger, E Liao, EH Spanier, EL Lehmann, EP Hsu, F Dobarro, G Cheng, G Gallavotti, GA Young, GJ McLachlan, GN Watson, I Chavel, J Bensadon, JE Marsden, JM Lee, KV Mardia, M Arnaudon, M Arnaudon, M Emery, MP Do Carmo, N Ay, N Ikeda, NN Chentsov, O Kallenberg, P Petersen, PA Absil, PE Kloeden, R. L. Bishop, S Amari, S Helgason, S Lang, S Said, S Said, SI Amari, X Pennec, Y Chikuse, Y Ollivier   +42 more
core   +1 more source

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, Shixiang Chen, Zengde Deng, Qing Qu, Zhihui Zhu, A. M. So   +5 more
semanticscholar   +1 more source

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, Mehdi Rafie-Rad   +1 more
doaj  

Combining Multiple Kernel Methods on Riemannian Manifold for Emotion Recognition in the Wild

International Conference on Multimodal Interaction, 2014
In this paper, we present the method for our submission to the Emotion Recognition in the Wild Challenge (EmotiW 2014). The challenge is to automatically classify the emotions acted by human subjects in video clips under real-world environment.
Mengyi Liu, Ruiping Wang, Shaoxin Li, S. Shan, Zhiwu Huang, Xilin Chen   +5 more
semanticscholar   +1 more source

On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
doaj   +1 more source

Classification of Polarimetric SAR Images Based on the Riemannian Manifold

Leida xuebao, 2017
Classification is one of the core components in the interpretation of Polarimetric Synthetic Aperture Radar (PolSAR) images. A new PolSAR image classification approach employs the structural properties of the Riemannian manifold formed by PolSAR ...
Yang Wen, Zhong Neng, Yan Tianheng, Yang Xiangli   +3 more
doaj   +1 more source

On semi-slant $\xi^\perp-$Riemannian submersions

, 2017
The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp ...
Akyol, Mehmet Akif, Sarı, Ramazan
core   +1 more source

CR-Lightlike Submanifolds of a Golden Semi-Riemannian Manifold [PDF]

arXiv, 2022
In this paper, we define and study CR-lightlike submanifolds of a golden semi-Riemannian manifold. We investigate some properties of geodesic CR-submanifolds of a golden semi-Riemannian manifold. Moreover, we obtain many interesting results for totally geodesic and totally umbilical CR-submanifolds on a golden Riemannian manifold. A non-trivial example
arxiv