Results 11 to 20 of about 378,330 (227)
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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Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
Advanced Nonlinear Studies, 2023 Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
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Rocky Mountain Journal of Mathematics, 1997 The authors prove that on a set with \(n>0\) elements there are up to homeomorphism \(\tau(n)\) homogeneous topologies. Here \(\tau(n)\) is the number of positive divisors of \(n\). They also prove that if \(X\) is finite and \(\tau\) is a connected homogeneous topology on \(X\) then \(\tau = \{\emptyset,X\}\).
Fora, Ali, Al-Bsoul, Adnan
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Homogeneous Ultrametric Spaces
Journal of Algebra, 1996 Fortsetzung von zwei vorangehenden Arbeiten über verallgemeinerte ultrametrische Räume [the authors, Generalized ultrametric spaces I, Abh. Math. Semin. Univ. Hamb. 66, 55-73 (1996); and Part II (1997)]. Es wird der Begriff des homogenen ultrametrischen Raumes eingeführt [the authors, C. R. Math. Acad. Sci., Soc. R. Can. 18, 1-16 (1996; Zbl 0853.54029)]
Priess-Crampe, S., Ribenboim, P.
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Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]
ریاضی و جامعه, 2022 In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
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Integrators on homogeneous spaces: Isotropy choice and connections [PDF]
, 2016 We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical integrator respects this symmetry if it is equivariant.
Munthe-Kaas, Hans, Verdier, Olivier
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Matrix Models in Homogeneous Spaces [PDF]
, 2002 We investigate non-commutative gauge theories in homogeneous spaces G/H. We construct such theories by adding cubic terms to IIB matrix model which contain the structure constants of G.
Ambjorn +32 more
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Strongly homogeneous spaces [PDF]
Proceedings of the American Mathematical Society, 1975 Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous.
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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming +3 more
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