Mathematics – Differential Geometry
Scientific paper
1999-10-26
Mathematics
Differential Geometry
20 pages. BJGA, 4, 1(1999), in press
Scientific paper
Using the symmetry group theory of second order PDEs, one finds the symmetry group associated to Tzitzeica surfaces partial differential equation. One studies the inverse problem and one shows that the Tzitzeica surfaces PDE is an Euler-Lagrange equation. One determines the variational symmetry group of the associated functional and one obtains the conservation laws of the Tzitzeica surfaces PDE. All these results shows that the Tzitzeica surfaces theory is strongly related to variational problems and hence it is a subject of global differential geometry.
Constantin Udriste
Nicoleta Bila
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