搜索结果: 1-14 共查到“数学 holonomy”相关记录14条 . 查询时间(0.078 秒)
Let G be a solvable linear Lie group. We show that for every flat
pnncipal G-bundle { over a CW-complex M, there is a finite-sheeted covering
spacep: M-3 M such that p*C is trivial as a principal ...
An affine manifold is a differentiable manifold together with an atlas of
coordinate charts whose coordinate changes extend to affine automorphisms of
Euclidean space. These charts are called atli...
On one class of holonomy groups in pseudo-Riemannian geometry
holonomy groups pseudo-Riemannian geometry Differential Geometry
2011/9/5
Abstract: We prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the centraliser of L in SO(g) is a holonomy group for a ...
Extrinsic hyperspheres in manifolds with special holonomy
Universitat Stuttgart Andrei Moroianu, CMLS
2011/8/30
Abstract: We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaeh...
Abstract: For $(M,[g])$ a conformal manifold of signature $(p,q)$ and dimension at least three, the conformal holonomy group $\mathrm{Hol}(M,[g]) \subset O(p+1,q+1)$ is an invariant induced by the can...
New Examples of Compact Manifolds with Holonomy Spin(7)
New Examples of Compact Manifolds Holonomy Spin(7)
2011/2/21
We find new examples of compact Spin(7)-manifolds using a construction of Joyce [18, 19]. The essential ingredient in Joyce’s construction is a Calabi–Yau 4-orbifold with particular singularities admi...
Finsler spaces with infinite dimensional holonomy group
Finsler spaces infinite dimensional holonomy group
2011/1/17
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will be introduced, by t...
Grafting Real Complex Projective Structures with Fuchsian Holonomy
Grafting Real Complex Projective Structures Fuchsian Holonomy
2011/1/20
Let G(S, ρ) be a graph whose vertices are complex projective struc-tures with holonomy ρ and whose edges are graftings from one vertex to another. If ρ is quasi-Fuchsian, a theorem of Goldman implies ...
Conformally flat Lorentzian manifolds with special holonomy
Conformally flat Lorentzian manifolds special holonomy
2010/11/23
Connected holonomy groups of conformally flat Lorentzian manifolds are classified. It is shown that among conformally flat Lorentzian manifolds there are two classes of spaces with special holonomy: ...
Holonomy reduced dynamics of triatomic molecular systems
Holonomy reduced dynamics triatomic molecular systems
2010/11/29
Whereas it is easy to reduce the translational symmetry of a molecular system by using, e.g., Jacobi coordinates the situation is much more involved for the rotational symmetry.
A theorem of Lawson and Simons states that the only stable minimal submanifolds in CPn are complex submanifolds. We generalize their result to the cases of HPn and OP2. Our approach gives a unified vi...
Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Flat Pseudo-Riemannian Homogeneous Spaces Non-Abelian Holonomy Group
2010/12/8
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...
Connections in Poisson Geometry I: Holonomy and Invariants
Connections Poisson Geometry I Holonomy Invariants
2010/11/1
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman. We show that thes...