Euler equations on homogeneous spaces and Virasoro orbits

2003/04/30 by Boris Khesin, Gerard Misiołek · 150 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Computer science #Dynamical systems theory #Euler equations #Euler's formula #Geodesic #Geodesic flow #Geometry and complex manifolds #Group (periodic table) #Homogeneous #Integrable system #Invariant (physics) #Lie group #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Space (punctuation) #Virasoro algebra

paper · pdf · doi:10.1016/s0001-8708(02)00063-4

published in Advances in Mathematics 176(1), 116-144 (Elsevier BV)

openalex publication_date 2003/04/30 · crossref created 2003/04/30 · crossref issued 2003/06/01 · crossref published 2003/06/01 · crossref published-print 2003/06/01 · crossref deposited 2020/03/17 · openalex created_date 2025/10/10 · crossref indexed 2026/08/05 · openalex updated_date 2026/08/08

Citations

• Classical solutions of the periodic Camassa—Holm equation
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Unitary representations of some infinite dimensional groups

Cited by

• Low-Regularity Solutions of the Periodic Camassa–Holm Equation
• On the local and nonlocal Camassa–Holm hierarchies
• The Hunter–Saxton equation describes the geodesic flow on a sphere
• Global Solutions of the Hunter--Saxton Equation
• Orientation waves in a director field with rotational inertia
• Camassa–Holm equation [wikipedia]
• Hunter–Saxton equation [wikipedia]