CR Weyl geometry and connections of the canonical bundle

Kodai Mathematical Journal

Takaaki Ohkubo¹ 

[1] Department of Mathematics Faculty of Science Saitama University

关键词: Meromorphic functions;    Uniqueness;    Weighted sharing;   

DOI  :  10.2996/kmj/1143122390

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)A nondegenerate CR manifold has a natural conformal class consisting of hermitian forms, which are called Levi forms, on the hyperdistribution. It is important to study the objects on CR manifolds which are independent of the choice of Levi forms. A CR Einstein-Weyl structure defined in [8] is one of such objects. Our purpose is to find nondegenerate CR manifolds with CR Einstein-Weyl structures.In this paper, we shall obtain many examples of CR Einstein-Weyl manifolds. These examples are actually derived from the fact that CR Einstein-Weyl structures are closely concerned with connections of the canonical bundle of CR manifolds.

【 授权许可】

Unknown