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Author:
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Issue:
wan bei riemann liu xing shang de hardy bu deng shi
Author(s):
YANG Hongcang
,
HONG Yi
,
DU Dingzhu
Pages:
1351
-
1354
Year:
1983
Issue:
22
Journal:
Chinese Science Bulletin
Keyword:
Hardy不等式
;
Ricci曲率
;
绝对连续函数
;
完备Riemann流形
;
测地线
;
比较定理
;
切空间
;
标架场
;
体积元
;
正交基
;
Abstract:
<正> 1.引言令M为m维完备连通的Riemann流形,光滑而有定向。设点O∈M,用ρ(x)表点x∈M到点O的距离.设F:M→R为绝对连续函数,F(O)=0。当M之Ricci曲率非负,本文给出不等式
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