Results 11 to 20 of about 1,212,618 (337)
Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky +1 more
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Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
, 2015 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
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Homogenisation on homogeneous spaces [PDF]
Journal of the Mathematical Society of Japan, 2018 52 pages, to appear: Journal of the Mathematical Society of Japan.
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Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol [PDF]
, 1997 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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Symplectic Homogeneous Spaces [PDF]
Transactions of the American Mathematical Society, 1974 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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Symplectic homogeneous spaces [PDF]
Transactions of the American Mathematical Society, 1975 In this paper we make various remarks, mostly of a computational nature, concerning a symplectic manifold X on which a Lie group G acts as a transitive group of symplectic automorphisms. The study of such manifolds was initiated by Kostant [41 and Souriau [5] and was recently developed from a more general point of view by Chu [2].
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TEMPERED HOMOGENEOUS SPACES IV
Journal of the Institute of Mathematics of Jussieu, 2022 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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A homogeneous space whose complement is rigid [PDF]
, 2014 We construct a homogeneous subspace of $2^\omega$ whose complement is dense in $2^\omega$ and rigid. Using the same method, assuming Martin's Axiom, we also construct a countable dense homogeneous subspace of $2^\omega$ whose complement is dense in $2 ...
Medini, Andrea +2 more
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POINTWISE MULTIPLICATION IN THE REALIZED HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES
Проблемы анализа, 2018 For either homogeneous Besov spaces B_(s;p,q)(R_n) or homogeneous Triebel-Lizorkin spaces F_(s;p,q)(R_n), with the conditions either s < n/p, or s = n/p and q ≤ 1 in the B_(s;p,q)-case, p ≤ 1 in the F_(s;p,q)-case, we prove some pointwise multiplication ...
Madani Moussai, Samira Bissar
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On the Vector in Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1953 The main purpose of this paper is to investigate the parallelism of vectors in homogeneous spaces. The definition of a vector and the condition for spaces under which a covariant differential of a vector is also a vector were given by E. Cartan [4] in a very intuitive way. Here I formulate this in a stricter way by his method of moving frame. Even if a
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