Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces
Let M be a compact m-dimensional complex manifold and F(M) the holomorphic frame bundle over M. Then π:F(M)→M is a holomorphic principal GL(m;c)-bundle over M. Let G be a complex Lie subgroup of GL(m;c). A holomorphic principal G-subbundle tt:P + M of Fin) is called a holomorphic G-structure on M.
KeywordsRicci Tensor Hermitian Symmetric Space Kill Vector Field Compact Complex Surface Holomorphic Vector Field
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