TOTALLY-REAL MINIMAL SUBMANIFOLDS IN A QUATERNION PROJECTIVE-SPACE

被引：0

作者：

SHEN, YB

机构：

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1993年 / 14卷 / 03期

关键词：

PROJECTIVE SPACE; TOTALLY REAL MINIMAL SUBMANIFOLDS; CURVATURE PINCHING;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some curvature pinching theorems for compact totally real minimal submanifolds in a quaternion projective space are given, so that the corresponding results due to B. Y. Chen and C. S. Houh in [1] are improved.

引用

页码：297 / 306

页数：10

共 10 条

[1] Chen B.-Y., 1979, ANN MAT PUR APPL, V70, P185
[2] Chern S.S., 1970, FUNCTIONAL ANAL RELA, P59, DOI [DOI 10.1007/978-3-642-48272-4_2, 10.1007/978-3-642-48272-4_2]
[3] VERONESE MANIFOLDS
ITOH, T
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ROS, A
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[J]. MATHEMATISCHE ZEITSCHRIFT, 1986, 191 (04) : 537 - 548
[5] Shen Y. B., 1991, CHIN ANN MATH A, V12, P573
[6] SHEN YB, 1989, SCI CHINA SER A, V32, P769
[7] CURVATURE PINCHING FOR 3-DIMENSIONAL MINIMAL SUBMANIFOLDS IN A SPHERE
SHEN, YB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (03) : 791 - 795
[8] SHEN YB, 1992, J HANGZHOU U, V19, P261
[9] SUBMANIFOLDS WITH CONSTANT MEAN CURVATURE .2.
YAU, ST
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1975, 97 (01) : 76 - 100
[10] SUBMANIFOLDS WITH CONSTANT MEAN CURVATURE .1.
YAU, ST
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1974, 96 (02) : 346 - 366

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