symmetric space


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symmetric space

[sə′me·trik ′spās]
(mathematics)
A differentiable manifold which has a differentiable multiplication operation that behaves similarly to the multiplication of a complex number and its conjugate.
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On the other hand, the symmetric d may not be continuous since symmetric space is not necessarily Hausdorff.
A symmetric 2-form on a compact symmetric space (X, g) satisfies the zero-energy condition if all its integrals along the closed geodesics of X vanish.
van den Ban, Invariant differential operators on a semisimple symmetric space and finite multiplicities in a Plancherel formula, Ark.
n] is called a locally symmetric space if the curvature tensor R of [M.
As expected by (X, d), we denote a nonempty set X equipped with a symmetric d on X and call it a symmetric space.
In this paper, we provide necessary and sufficient conditions for the existence of common fixed points for three self maps in a symmetric space which is more general than a metric space, dropping the condition of continuity on any of the map involved therein.
The 16 papers from the latest Osaka conference on Schubert calculus consider such topics as consequences of the Lakshmibai-Sandhya theorems: the ubiquity of permutation patterns in Schubert calculus and related geometry, stable quasi-maps to holomorphic symplectic quotients, tableaux and Eulerian properties of the symmetric group, generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur P- and Q-functions, and character sheaves on exotic symmetric spaces and Kostka polynomials.
Objective: The PI proposes to study the asymptotic behavior of various invariants of discrete groups and their actions, of sparse graphs and of locally symmetric spaces.
Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces .
The volumes of certain associated symmetric spaces have been used as a means to estimate the proton-electron mass ratio, besides the ratios among leptons and mesons masses [1-7].
As is well known, symmetric spaces play an important role in differential geometry.

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