论文标题
复杂的cartan几何形式的特征形式III：G结构
Characteristic forms of complex Cartan geometries III: G-structures
论文作者
论文摘要
Dolbeault共同体中的特征类关系源于骨膜几何结构的存在（例如，塑形结构结构，全态恩格尔分布，全体形态的投射连接和全体形态叶子）。这些关系可以直接从结构组的表示理论中计算出来，而无需选择任何度量或连接，也可以对歧管的Dolbeault共同体学组进行任何了解。本文通过允许无限型几何结构来改善其前身[17]。
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic geometric structure (for example, holomorphic conformal structures, holomorphic Engel distributions, holomorphic projective connections, and holomorphic foliations). These relations can be calculated directly from the representation theory of the structure group, without selecting any metric or connection or having any knowledge of the Dolbeault cohomology groups of the manifold. This paper improves on its predecessor [17] by allowing infinite type geometric structures.
