Hypersurface geometry and Hamiltonian systems of hydrodynamic type

zbMath0979.53003MaRDI QIDQ1967153

Reiko Naka-Miyaoka

Publication date: 9 April 2000

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229443

zbMATH Keywords

surveyDupin hypersurfaceLie transformationisoparametric hypersurfaceLie contact structureHamiltonian systems of hydrodynamic type

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Global submanifolds (53C40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

This page was built for publication: Hypersurface geometry and Hamiltonian systems of hydrodynamic type