Contact Relative Differential Invariants for Non Generic Parabolic Monge-Ampère Equations

• Autores: Ricardo José Alonso Blanco , Gianni Manno, Fabrizio Pugliese
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 101, Nº. 1-3, 2008 (Ejemplar dedicado a: Algebras and Geometry of PDEs - A special issue dedicated to the 60th anniversary of Valentin Lychagin), págs. 5-19
• Idioma: inglés
• DOI: 10.1007/s10440-008-9204-8
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• Resumen

  • We find relative differential invariants of different orders for non generic parabolic Monge-Ampère equations (MAE¿s). They are constructed in terms of some tensors associated with the derived flag of the characteristic distribution. The vanishing of such invariants allows one to determine the classes of each non generic parabolic MAE with respect to contact transformations.