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
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.
引用
收藏
页码:325 / 336
页数:12
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