ON THE GEODESIC FLOW ON THE GROUP OF DIFFEOMORPHISMSOF THE CIRCLE WITH A FRACTIONAL SOBOLEVRIGHT-INVARIANT METRIC

MARCUS WUNSCH

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ON THE GEODESIC FLOW ON THE GROUP OF DIFFEOMORPHISMSOF THE CIRCLE WITH A FRACTIONAL SOBOLEVRIGHT-INVARIANT METRIC

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摘要

We show that the geodesic flow on the infinite-dimensional group of diffeomorphisms of the circle,endowed with a fractional Sobolev metric at the identity, is described by the generalized Constantin-Lax–Majda equation with parameter a =1/2.

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来源
《Journal of nonlinear mathematical physics》 |2010年第1期|7-11|共5页
作者
MARCUS WUNSCH;
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作者单位

Research Institute for Mathematical SciencesKyoto UniversityKyoto 606-8502, Japan;

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正文语种英语
中图分类理论物理学;
关键词
Geodesic flow; fractional Sobolev metric; generalized CLM equation;

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ON THE GEODESIC FLOW ON THE GROUP OF DIFFEOMORPHISMSOF THE CIRCLE WITH A FRACTIONAL SOBOLEVRIGHT-INVARIANT METRIC

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