CURVATURE, DIAMETER AND BETTI NUMBERS

被引:178
作者
GROMOV, M
机构
关键词
D O I
10.1007/BF02566208
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:179 / 195
页数:17
相关论文
共 20 条
[1]  
Bishop R.L, 1964, GEOMETRY MANIFOLDS
[2]  
BOCHNER S, 1953, ANN MATH STUD PRINCE
[3]   STRUCTURE OF COMPLETE MANIFOLDS OF NONNEGATIVE CURVATURE [J].
CHEEGER, J ;
GROMOLL, D .
ANNALS OF MATHEMATICS, 1972, 96 (03) :413-443
[4]  
Cheeger J., 1975, COMP THEOREMS RIEMAN
[5]  
CHEEGER J, 1971, J DIFF GEOM, V6, P19
[6]  
Cheeger J., 1973, J DIFFER GEOM, V8, P623
[7]   EXOTIC SPHERE WITH NONNEGATIVE SECTIONAL CURVATURE [J].
GROMOLL, D ;
MEYER, W .
ANNALS OF MATHEMATICS, 1974, 100 (02) :401-406
[8]   ON COMPLETE OPEN MANIFOLDS OF POSITIVE CURVATURE [J].
GROMOLL, D ;
MEYER, W .
ANNALS OF MATHEMATICS, 1969, 90 (01) :75-&
[9]   THE CLASSIFICATION OF SIMPLY CONNECTED MANIFOLDS OF POSITIVE SCALAR CURVATURE [J].
GROMOV, M ;
LAWSON, HB .
ANNALS OF MATHEMATICS, 1980, 111 (03) :423-434
[10]  
GROMOV M, 1980, 1978 P INT C MATH HE, P415