EQUIVARIANT HOLOMORPHIC HERMITIAN PRINCIPAL BUNDLES OVER A EUCLIDEAN SPACE

作者：Biswas Indranil^*

来源：Journal of Topology and Analysis, 2013, 5(3): 345-360.

DOI：10.1142/S179352531350012X

• Euclidean space
• equivariant principal bundle
• hermitian structure
• holomorphic structure

Let V be a finite dimensional complex vector space equipped with an inner product. Let G denote the group of all affine automorphisms of V preserving the metric defined by the inner product. Let H be a connected reductive affine algebraic group defined over C. We give an explicit classification of the isomorphism classes of G-equivariant holomorphic hermitian principal H-bundles over V.

• 出版日期2013-9