SOME ISOMETRIC EMBEDDING AND RIGIDITY RESULTS FOR RIEMANNIAN-MANIFOLDS

被引:6
作者
BERGER, E [1 ]
BRYANT, R [1 ]
GRIFFITHS, P [1 ]
机构
[1] RICE UNIV,DEPT MATH,HOUSTON,TX 77001
来源
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES | 1981年 / 78卷 / 08期
关键词
D O I
10.1073/pnas.78.8.4657
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
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页码:4657 / 4660
页数:4
相关论文
共 25 条
[1]   Rigidity for spaces of class greater than one [J].
Allendoerfer, CB .
AMERICAN JOURNAL OF MATHEMATICS, 1939, 61 :633-644
[2]  
CARTAN E, 1945, EXPOSES GEOMETRIE
[3]  
CHERN SS, REMARKS RIEMANNIAN M
[4]  
GASQUI J, 1975, J DIFF GEOM, V10, P61
[5]   EXISTENCE THEOREMS FOR ANALYTIC LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].
GOLDSCHMIDT, H .
ANNALS OF MATHEMATICS, 1967, 86 (02) :246-+
[6]  
GOLDSCHMIDT H, 1968, ANN EC NORM SUPER, P617
[7]  
GOLDSCHMIDT HL, 1968, ANN SCI ECOLE NORM S, P417
[8]  
Greene R., 1970, MEM AM MATH SOC, V97
[9]   ISOMETRIC EMBEDDINGS [J].
GREENE, RE .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) :1308-&
[10]   ANALYTIC ISOMETRIC EMBEDDINGS [J].
GREENE, RE ;
JACOBOWI.H .
ANNALS OF MATHEMATICS, 1971, 93 (01) :189-&