Diffeomorphism groups on noncompact manifolds

被引：0

作者：

Jürgen Eichorn

机构：

来源：

Journal of Mathematical Sciences | 1999年 / 94卷 / 2期

关键词：

Manifold; General Theory; Traditional Approach; Compact Manifold; Diffeomorphism Group;

D O I：

10.1007/BF02364875

中图分类号：

学科分类号：

摘要：

A quite general theory of manifolds of maps between open manifolds of bounded geometry is constructed. The results of the paper can be applied to the case of compact manifolds, but the method used differs from the traditional approach of Ebin and Marsden. Bibliography: 11 titles.

引用

页码：1162 / 1176

页数：14

共 6 条

[1]

Ebin D.(1970)Groups of diffeomorphisms and the motion of an incompressible fluid Ann. Math. 92 102-163

[2]

Marsden J.(1991)The boundedness of connection coefficients and their derivatives Math. Nachr. 152 145-158

[3]

Eichhorn J.(1988)Elliptic operators on noncompact manifolds Teubner-Texte Math. 106 4-169

[4]

Eichhorn J.(1992)Gauge theory on open manifolds of bounded geometry Int. J. Modern Phys. A 7 3927-3977

[5]

Eichhorn J.(1978)Complete metrics of bounded curvature on noncompact manifolds Arch. Math. 31 89-95

[6]

Greene R.(undefined)undefined undefined undefined undefined-undefined

← 1 →