搜索结果: 1-6 共查到“几何学 abelian”相关记录6条 . 查询时间(0.078 秒)
In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
We study pure Yang–Mills theory on × S2, where is a compact Riemann surface, and invariance is assumed under rotations of S2. It is well known that the self-duality equations in this set-up reduce...
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...
On the existence of non-abelian monopoles: the algebro-geometric approach
existence of non-abelian monopoles algebro-geometric approach
2010/12/9
We develop the Atiyah-Drinfeld-Manin-Hitchin-Nahm construction to study SU(2) non-abelian charge 3 monopoles within the algebro-geometric method. The method starts with nding an algebraic curve, the ...
tion of Non Abelian Group Generated by Affine Homotheties on R^n
Homothety orbit density minimal non abelian action
2010/12/14
In this paper, we study the action of non abelian group G generated by affine homotheties on Rn. We prove that G satisfies one of the following properties: (i) there exist a subgroup G of R∗ co...