关于Rn中星形曲线的几何

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2019-01-01 DOI:10.2206/kyushujm.73.123

Stefan A. HOROCHOLYN

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引用次数: 0

摘要

。利用向量束上的连接理论和循环D模，研究了R n中星形曲线的流形M。定义了M上的“积分曲线”(即某些可容许变形)的适当概念，并通过等谱流对可容许变形的结果空间进行分类，这些空间由n -KdV (Korteweg-de Vries)层次中的方程描述。

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ON THE GEOMETRY OF STAR-SHAPED CURVES IN Rn

. 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.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.