SOME NATURAL CONSTRUCTIONS ON VECTOR-FIELDS AND HIGHER-ORDER COTANGENT BUNDLES

被引:8
|
作者
MIKULSKI, WM
机构
[1] Institute of Mathematics, Jagellonian University, Kraków
来源
MONATSHEFTE FUR MATHEMATIK | 1994年 / 117卷 / 1-2期
关键词
1991 Mathematics Subject Classification: 58A20; 53A55;
D O I
10.1007/BF01299315
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that for n-manifolds (n greater-than-or-equal-to 3) the sets of all natural operators T --> (T(r*), T(q*)) and T - TT(r*), respectively, are free finitely generated C(infinity)(R(r))-modules. We construct explicitly the bases of the C(infinity)(R(r)-modules.
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页码:107 / 119
页数:13
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