ON THE GEOMETRY OF STAR-SHAPED CURVES IN Rn

被引：0
|
作者：
Horocholyn, Stefan A. [1 ]
机构：
[1] Tokyo Metropolitan Univ, Dept Math Sci, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan
来源：
KYUSHU JOURNAL OF MATHEMATICS | 2019年 / 73卷 / 01期
关键词：
eformations of centro-affine curves; integrable systems; n-KdV hierarchy; D-modules; EQUATIONS; SOLITON; SPACE; FLOW;
D O I：
10.2206/kyushujm.73.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The manifold M of star-shaped curves in R-n is considered via the theory of connections on vector bundles, and cyclic D-modules. The appropriate notion of an 'integral curve' (i.e. certain admissible deformations) on M is defined, and the resulting space of admissible deformations is classified via iso-spectral flows, which are shown to be described by equations from the n-KdV (Korteweg-de Vries) hierarchy.
引用
收藏
页码：123 / 144
页数：22
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