Projective geometry on the bundle of volume forms

被引：0
|
作者：
Dhooghe P.F. [1 ]
Van Vlierden A. [1 ]
机构：
[1] Center for Pure and Applied Differential Geometry, Department of Mathematics, K.U.Leuven, B 3001, Leuven, Celestijnenlaan
来源：
Journal of Geometry | 1998年 / 62卷 / 1-2期
关键词：
Projective structures; Thomas connection; Volume bundle;
D O I：
10.1007/BF01237601
中图分类号：
学科分类号：
摘要：
The bundle of volume forms on a manifold is examined in terms of the affine connection defined by T. Y. Thomas. The choice of a particular affine connection in the projective class corresponds to the choice of an horizontal distribution on this bundle. The geometric properties of the horizontal distributions are studied. Special lifts of vector fields and covariant tensor fields are examined as well as lifts of metric connections. © Birkhäuser Verlag, 1998.
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页码：66 / 83
页数：17
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