NASH C-1-EMBEDDING THEOREM FOR CARNOT-CARATHEODORY METRICS

被引：10

作者：

DAMBRA, G ^{[1
]}

机构：

[1] DIPARTIMENTO MATEMAT,I-09124 CAGLIARI,ITALY

来源：

关键词：

ISOMETRIC IMMERSION; SHORT IMMERSION; CONTACT STRUCTURE; CARNOT-CARATHEODORY METRIC;

D O I：

10.1016/0926-2245(95)00010-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Nash C-1-embedding theorem for Riemannian manifolds is generalized to contact Carnot-Cratheodory manifolds.

引用

页码：105 / 119

页数：15

共 9 条

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[2]

ELIASHBERG Y, 1990, INT J MATH, V1

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GRAY, JW .

[4]

GROMOV M, 1993, CARNOT CARATHEODORY

[5]

Gromov M., 1986, PARTIAL DIFFERENTIAL

[6]

KUIPER NH, 1955, 1 P KON NED AK WET A, V58, P545

[7]

MITCHELL J, 1985, J DIFFER GEOM, V21, P35

[8] C-1 ISOMETRIC IMBEDDINGS [J].

NASH, J .

PANSU, P .