Motions of surfaces in 3-dimensional space

DOI10.1016/0378-4754(94)00028-XzbMath0827.70011OpenAlexW2038454047MaRDI QIDQ1344310

Kazuaki Nakayama, Miki Wadati

Publication date: 4 December 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00028-x

zbMATH Keywords

time evolution of metric and curvature tensors

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential invariants (local theory), geometric objects (53A55)

Cites Work

• The Modified Korteweg-de Vries Equation
• The Motion of Surfaces
• Motion of Curves in the Plane
• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
• Integrability and the motion of curves
• Unified approach to strings and vortices with soliton solutions
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