CINFINITY CONVEX FUNCTIONS AND MANIFOLDS OF POSITIVE CURVATURE

被引:121
作者
GREENE, RE
WU, H
机构
[1] UNIV CALIF LOS ANGELES,LOS ANGELES,CA 90024
[2] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
D O I
10.1007/BF02392418
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:209 / 245
页数:37
相关论文
共 30 条
[1]  
CARTAN H, 1960, CONTRIBUTIONS FUNCTI, P1
[2]   STRUCTURE OF COMPLETE MANIFOLDS OF NONNEGATIVE CURVATURE [J].
CHEEGER, J ;
GROMOLL, D .
ANNALS OF MATHEMATICS, 1972, 96 (03) :413-443
[3]   A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds [J].
Chern, SS .
ANNALS OF MATHEMATICS, 1944, 45 :747-752
[4]  
Cohn-Vossen S., 1935, COMPOS MATH, V2, P69
[5]   LEVISCHES PROBLEM UND RUNGESCHER SATZ FUR TEILGEBIETE STEINSCHER MANNIGFALTIGKEITEN [J].
DOCQUIER, F ;
GRAUERT, H .
MATHEMATISCHE ANNALEN, 1960, 140 (02) :94-123
[6]   POSITIVE SECTIONAL CURVATURES DOES NOT IMPLY POSITIVE GAUSS-BONNET INTEGRAND [J].
GEROCH, R .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) :267-270
[7]   ON LEVI PROBLEM AND THE IMBEDDING OF REAL-ANALYTIC MANIFOLDS [J].
GRAUERT, H .
ANNALS OF MATHEMATICS, 1958, 68 (02) :460-472
[8]   INTEGRALS OF SUBHARMONIC FUNCTIONS ON MANIFOLDS OF NONNEGATIVE CURVATURE [J].
GREENE, RE ;
WU, H .
INVENTIONES MATHEMATICAE, 1974, 27 (04) :265-298
[9]   APPROXIMATION THEOREMS, C INFINITY CONVEX EXHAUSTIONS AND MANIFOLDS OF POSITIVE CURVATURE [J].
GREENE, RE ;
WU, H .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (01) :101-104
[10]   CURVATURE AND COMPLEX ANALYSIS [J].
GREENE, RE ;
WU, H .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (06) :1045-&