NONEXISTENCE OF STABLE CURRENTS IN SUBMANIFOLDS OF A PRODUCT OF 2 SPHERES

被引：20
|
作者：
ZHANG, XS [1 ]
机构：
[1] XIAN INST MET & CONSTRUCT ENGN,DEPT MATH,XIAN 710055,PEOPLES R CHINA
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1991年 / 44卷 / 02期
关键词：
D O I：
10.1017/S0004972700029762
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using techniques of the calculus of variations in geometric measure theory, we investigate the nonexistence of stable integral currents in S(n1) x S(n2) and its immersed submanifolds. Several vanishing theorems concerning the homology group of these manifolds are established.
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页码：325 / 336
页数：12
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