Special periodic solutions of Schrödinger flow
type: Item
instance of: scholarly article
title: Special periodic solutions of Schrödinger flow
zbMATH Open document ID: 1105.37050
author: Hao Yin
author: Weiyue Ding
published in: Mathematische Zeitschrift
publication date: 2006-11-09T00:00:00Z
review text: The authors study the Schrödinger flow -- a Hamiltonian flow on the space of mappings from a closed Riemannian manifold \((M,g)\) to a closed Kähler manifold \((N,h,J)\) - where \(J\) is the complex structure of \(N\) and \(h\) is a Kähler metric. An existence theorem is proved for the case when \(N=S^2\) and \(M\) admits an isometry \(T:M\to M\) such that \(T^2=I\). Then, it is shown that the Schrödinger flow on mappings from \(S^2\) into \(S^2\) admits for any \(\lambda>0\) an infinite number of inequivalent periodic solutions with period \(2\pi/\lambda\).
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 37K65
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 5071444
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: energy
zbMATH Keywords: Schrödinger flow
zbMATH Keywords: Riemannian surfaces
zbMATH Keywords: symmetry
zbMATH Keywords: inequivalent periodic solutions
MaRDI profile type: Publication
full work available at URL: s00209-005-0922-6
OpenAlex ID: W2016236591
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DOI: 10.1007/S00209-005-0922-6
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description: scientific article; zbMATH DE number 5071444