搜索结果: 1-15 共查到“数学 homogeneous spaces”相关记录18条 . 查询时间(0.078 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational points and homogeneous spaces over function fields of curves
曲线函数场 有理点 齐次空间
2023/4/14
In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus
homogeneous spaces generalized Schubert calculus
2015/7/14
We describe recent work on positive descriptions of the structure constants of the cohomology of homogeneous spaces such as the Grassmannian, by degenerations and related methods. We
give various ext...
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known.
Higher cohomology for Anosov actions on certain homogeneous spaces
Higher cohomology Anosov actions certain homogeneous spaces
2011/7/23
Abstract: We study the smooth untwisted cohomology with real coefficients for the action on [SL(2, R) \times \cdot \cdot \cdot \times SL(2, R)]/{\Gamma} by the subgroup of diagonal matrices, where {\G...
Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces
Minimal hyperspace actions universal minimal space h-homogeneous homogeneous Boolean algebra maximal chains generalized Cantor sets
2011/7/7
Abstract: Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. Using the dual Ramsey theorem and a detailed combinatorial analysi...
Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras
Homogeneous spaces multi-moment maps (2,3)-trivial algebras
2010/12/31
For geometries with a closed three-form we briefly overview the notion of multimoment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly K¨ahler manifold...
A cohomological obstruction to weak approximation for homogeneous spaces
Brauer-Manin obstruction weak approximation homogeneous spaces
2010/12/31
Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k, and H G is a k-subgroup (not necessarily con-nected). Let S be a finite set of places of k...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
2010/12/31
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
Extended weight semigroups affine spherical homogeneous spaces of non-simple semisimple algebraic groups
2010/12/31
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the repre-sentations of G on the spaces of regular sections of homogen...
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
One-loop stress tensors for scalar spinor fields homogeneous spaces G-invariant metrics
2010/12/30
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with G-invariant metrics using the orbits of coadjoint representation o...
On construction of coherent states associated with homogeneous spaces
Locally compact abelian group Semidirect product Fourier transform Square integrable representation Coherent states
2010/12/21
In this article, assume that G=H\timest K is the semidirect product of two locally compact groups H and K, respectively and consider the quasi regular representation on G. Then for some closed subgrou...
Embeddedness of proper minimal submanifolds in homogeneous spaces
minimal submanifolds homogeneous spaces
2010/11/17
We prove the three embeddedness results as follows. $({\rm i})$ Let $\Gamma_{2m+1}$ be a piecewise geodesic Jordan curve with $2m+1$ vertices in $\mathbb{R}^n$, where $m$ is an integer $\geq2$. Then t...
A classification theorem for Dirac homogeneous spaces of Dirac Lie groupoids
Poisson Lie groupoids Lie groupoids Dirac manifolds homogeneous spaces Courant algebroids
2010/9/1
The theorems in Drinfel′d (1993), Liu et al. (1998), Jotz (2010a) about one-one orrespondence between homogeneous objects of a Poisson Lie group (respectively Poisson Lie groupoid, Dirac Lie group)and...
Gauss maps of constant mean curvature surfaces in three-dimensional homogeneous spaces
Gauss maps of constant mean curvature surfaces three-dimensional homogeneous spaces
2010/9/1
It is well-known that for a surface in a 3-dimensional real space form the constancy of
the mean curvature is equivalent to the harmonicity of the Gauss map. However, this is not true
in general for...
Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Flat Pseudo-Riemannian Homogeneous Spaces Non-Abelian Holonomy Group
2010/9/1
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear...