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Local isometric immersions of pseudo-spherical surfaces and k-th order evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of evolution equations that describe pseudo-spherical surfaces of the form u\_t = F (u, u/x, ..., ^k u/x^k), k 2…
Local Isometric immersions of pseudo-spherical surfaces and evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
The class of differential equations describing pseudo-spherical surfaces, first introduced by Chern and Tenenblat [3], is characterized by the property that to each solution of a d…
Second-order equations and local isometric immersions of pseudo-spherical surfaces
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of differential equations that describe pseudo-spherical surfaces of the form and given in Chern-Tenenblat \cite…
Energy-momentum's local conservation laws and generalized isometric embeddings of vector bundles
Nabil Kahouadji
This text is the extended version of a talk given at the conference Geometry, Topology, QFT and Cosmology hold from May 28 to May 30, 2008 at the Observatoire de Paris. Using exter…
Cartan-Kähler Theory and Applications to Local Isometric and Conformal Embedding
Nabil Kahouadji
This text is the extended version of a talk given at 6th Meeting of Integrable Systems and Quantum Filed Theory at Peyresq hold from June 10 2006 to June 17, 2006 at Peyresq, Franc…
Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles
Nabil Kahouadji
This article uses Cartan-Kähler theory to construct local conservation laws from covariantly closed vector valued differential forms, objects that can be given, for example, by har…