Differential geometry of moving surfaces and its relation to solitons. (English) Zbl 1382.37078

Ludu, Andrei

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 12th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 4–9, 2010. Sofia: Bulgarian Academy of Sciences. Geometry, Integrability and Quantization, 43-69 (2011).

See [A. Ludu, J. Geom. Symmetry Phys. 21, 1–28 (2011; Zbl 1247.37081)].
For the entire collection see [Zbl 1245.00049].

MSC:

37K40	Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
37K15	Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
53C44	Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
37K30	Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures

Citations:

Zbl 1247.37081