homogeneous space


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homogeneous space

[‚hä·mə′jē·nē·əs ′spās]
(mathematics)
A topological space having a group of transformations acting upon it, that is, a transformation group, where for any two points x and y some transformation from the group will send x to y.
References in periodicals archive ?
2: Set of recorders are called a homogeneous space of recorders, if all its elements equally receive all signals.
Drawn from two January 2012 workshops, this collection reviews the history of geometric analysis on Euclidean and homogeneous space, and presents new results in Radon transforms, Penrose transforms, representation theory, equivariant differential operators, wavelets related to symmetric cones, inductive limits of Lie groups, and noncommutative harmonic analysis.
AaAaAa "The Kingdom of Morocco's ambition to contribute to making the Mediterranean a viable, homogeneous space is second only to the urgent need it perceives to launch a truly strategic partnership between Africa and Europe, based on mutual interests, shared challenges and the need to build a common future," HM the King said in the message read by Prime minister Abbas El Fassi.
Living, dining and sleeping areas merge into a single homogeneous space enclosed by full-height glass walls which slide open to connect with the exterior.
Post-Modern time, a perpetual present of perpetual change, thus turns into space, a homogeneous space where multinational capitalism "reigns supreme and devastates the very cities and countryside it created in the process of its own earlier development.
and these singular fibers are quotients of the homogeneous space by distinguished groups of homeomorphisms.
It is obvious that for the case of homogeneous space the effect cannot exist.
To see a simpler sense of the obtained field equations, we take the field equations in a homogeneous space ([[DELTA].
These proceedings of the October 2005 conference held in Hanoi include survey and research articles reflecting current interest in a range of topics, including a survey on Zariski pairs and another on a categorical construction of Lie algebras, and research on elliptical parameters and defining equations for elliptic fibrations on a Kummer surface, characterization of the rational homogeneous space association with a long simple root by its variety of minimal rational tangents, maximal divisorial sets in arc spaces, two non-conjugate embeddings into Cremora Group II, the Castelnuovo-Severi inequality for a double covering, a Poincare polynomial of a class of signed complete graphic arrangements, singularities of dual varieties in Characteristic 2, and Castelnuovo-Well lattices.
Specifically, we are going to study such problems as the local index formula, equivariance of Dirac operators with respect to the dual group action (with an eye towards the Baum-Connes conjecture for discrete quantum groups), construction of Dirac operators on quantum homogeneous spaces, structure of quantized C*-algebras of continuous functions, computation of dual cohomology of compact quantum groups.
He discusses special and general relativity and the cosmological versions of both, properties of the gravitational field, particle production in five-dimensional cosmological relativity, properties of gravitational waves in an expanding universe, spiral galaxy rotation curves in the Brane world theory in five dimensions, testing cosmological general relativity against high redshift observations, homogeneous spaces and Bianchi classifications, and similar topics.
His topics include groups and homogeneous spaces, the extended Fillmore-Springer-Cnops construction, the indefinite product space of cycles, metric invariants in upper half-planes, conformal unit disk, and unitary rotations.