Results 221 to 230 of about 21,773 (264)

Metrization of Symmetric Spaces

Canadian Journal of Mathematics, 1975
A distance function d on a set X is a function X × X → [0, ∞ ) satisfying (1) d(x, y) = 0 if and only if x = y, and (2) d(x, y) = d(y, x). Such a function determines a topology T on X by agreeing that U is an open set if it contains an ∈-sphere N(p; ∈)( = {x: d(p, x) < ∈﹜} about each of its points.
Harley, P. W. III, Faulkner, G. D.
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On Weakly Symmetric Spaces

Acta Mathematica Hungarica, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bandyopadhyay, S., De, U. C.
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Symmetric Coordinate Spaces and Symmetric Bases

Canadian Journal of Mathematics, 1967
In this paper properties of symmetric coordinate spaces and symmetric bases are investigated. Since a space which possesses a basis is essentially a space of sequences (12, p. 207), the interrelation of these two concepts naturally suggests itself.Section 2 is a summary of the terminology and methods employed, which fall into four categories: (1) set ...
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Rolling Symmetric Spaces

2015
Riemannian symmetric spaces play an important role in many areas that are interrelated to information geometry. For instance, in image processing one of the most elementary tasks is image interpolation. Since a set of images may be represented by a point in the Grasmann manifold, image interpolation can be formulated as an interpolation problem on that
Krzysztof A. Krakowski, Luís Machado, Fátima Silva Leite   +2 more
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Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces

2007
Symmetric submanifolds are defined analogously to Riemannian symmetric spaces in the theory of Riemannian submanifolds. This notion was introduced by D. Ferus ([2], 1980) firstly for a submanifold of a Euclidean space and can be easily extended to a submanifold of a general Riemannian manifold.
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JORDAN SYMMETRIC SPACES

Asian-European Journal of Mathematics, 2009
We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.
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Foliations of Symmetric Spaces

American Journal of Mathematics, 1993
The author proves the following theorems: (1) Let \({\mathcal F}\) be a Riemannian foliation of a compact manifold \(M\) with constant curvature \(\kappa\). If \(\kappa=0\), then \(M\) splits locally isometrically as \(B \times F\) and the leaves of \({\mathcal F}\) locally coincide with \(\{p\} \times F\), \(p \in B\).
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Completely Symmetric Spaces

Journal of the London Mathematical Society, 1944
Not ...
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SYMMETRIC SPACES OF CORANK 1

Mathematics of the USSR-Sbornik, 1975
A global classification is given of the symmetric spaces admitting a flat, totally geodesic submanifold of dimension .Bibliography: 6 items.
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