Results 21 to 30 of about 3,057 (193)

On hypersurfaces in a locally affine Riemannian Banach manifold

International Journal of Mathematics and Mathematical Sciences, 2002
We prove that an essential hypersurface of second order in an infinite dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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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

Riemannian symmetries in flag manifolds [PDF]

Archivum Mathematicum, 2012
Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $\mathbb{Z}_2^k$-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold $SO(5)/SO(2)\times SO(2) \times SO(1)$ what are the conditions for a metric adapted to the ...
PIU, MARIA PAOLA, REMM ELISABETH
openaire   +3 more sources

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
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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

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
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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
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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, 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
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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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