Results 31 to 40 of about 88,622 (197)

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

A note on Kuttler-Sigillito's inequalities

, 2020
We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains with $C^2$ boundary in complete Riemannian manifolds. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold.
Hassannezhad, A., Siffert, A.
core   +1 more source

Geometrical Analysis on Submanifolds in Riemannian Manifolds Attached with Silver Structure

Axioms
In this paper, we analyze a silver Riemannian structure on a Riemannian manifold. We compute some fundamental properties of the induced structure on submanifolds immersed in a silver Riemannian manifold and also obtain some results for induced structures
Shadab Ahmad Khan, Fatemah Mofarreh, Toukeer Khan, Mohd Danish Siddiqi, Anis Ahmad   +4 more
doaj   +1 more source

On hypersurfaces in a locally affine Riemannian Banach manifold II

International Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

A neutral relation between metallic structure and almost quadratic {\phi}-structure

, 2018
In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli, Gönül, Sinem, Murathan, Cengizhan, Yazla, Aziz   +3 more
core   +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

Geometry of concircular curvature tensor of Nearly Kahler manifold

Tikrit Journal of Pure Science, 2023
In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found.  And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical ...
Taha H. Jasim, Ali A. Shihab, Rawaa A. Zabin   +2 more
doaj   +1 more source

Induced Riemannian structures on null hypersurfaces

, 2017
Given a null hypersurface $L$ of a Lorentzian manifold, we construct a Riemannian metric $\widetilde{g}$ on it from a fixed transverse vector field $\zeta$.
Ashtekar, Ashtekar, Ashtekar, Atindogbe, Birman, Cheeger, Chen, Christodoulou, Christodoulou, Duggal, Duggal, Fefferman, Flores, Gourgoulhon, Grant, Gutiérrez, Gutiérrez, Gutiérrez, Harris, Katsuno, Katsuno, Klainerman, Kupeli, O'Neill, Ponge, Schouten, Solodukhin   +26 more
core   +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  

Using distance on the Riemannian manifold to compare representations in brain and in models

NeuroImage, 2021
Representational similarity analysis (RSA) summarizes activity patterns for a set of experimental conditions into a matrix composed of pairwise comparisons between activity patterns.
Mahdiyar Shahbazi, Ali Shirali, Hamid Aghajan, Hamed Nili   +3 more
doaj   +1 more source