Results 21 to 30 of about 1,172,151 (314)
Diameters of Homogeneous Spaces [PDF]
Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y)=|Ad(yx^{-1})|_{G} on G. We prove the existence of a constant \approx .12 (independent of G) such that for any closed subgroup H \subsetneq G, the diameter of the quotient
Alexei Kitaev+2 more
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Hypersurface homogeneous Killing spinor space-times [PDF]
I present a complete list of hypersurface homogeneous space-times admitting a non-null valence two Killing spinor, including a new class admitting only exceptional Killing tensors.
Bergh, Norbert Van den
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Homogenisation on homogeneous spaces [PDF]
52 pages, to appear: Journal of the Mathematical Society of Japan.
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Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space.
Santana, Alexandre J.+1 more
core +1 more source
A novel method for tracking structural changes in gels using widely accessible microcomputed tomography is presented and validated for various hydro‐, alco‐, and aerogels. The core idea of the method is to track positions of micrometer‐sized tracer particles entrapped in the gel and relate them to the density of the gel network.
Anja Hajnal+3 more
wiley +1 more source
TEMPERED HOMOGENEOUS SPACES IV
AbstractLet G be a complex semisimple Lie group and H a complex closed connected subgroup. Let and be their Lie algebras. We prove that the regular representation of G in $L^2(G/H)$ is tempered if and only if the orthogonal of in contains regular elements by showing simultaneously the equivalence to other striking conditions, such as has a ...
Yves Benoist, Toshiyuki Kobayashi
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Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol [PDF]
In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces.
H. Kodama, Scott
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Concentrated Force Action on 1/8 Homogeneous Isotropic Space
Using the example of vertical displacements, it is shown that by combining a solution to the problem of determining vertical displacements from the action of four identical concentrated forces symmetrically applied to an elastic half-space and two ...
S. V. Bosakov, P. D. Skachok
doaj +1 more source
Symplectic Homogeneous Spaces [PDF]
It is proved in this paper that for a given simply connected Lie group G with Lie algebra g \mathfrak {g} , every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results in [7] and [12] that if H 1 (
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The pseudo-hyperplanes and homogeneous pseudo-embeddings of AG(n, 4) and PG(n, 4) [PDF]
We determine all homogeneous pseudo-embeddings of the affine space AG(n, 4) and the projective space PG(n, 4). We give a classification of all pseudo-hyperplanes of AG(n, 4).
De Bruyn, Bart
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