Abstract
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.
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R. Alonso Blanco thanks J. Muñoz, A. Álvarez, S. Jiménez and J. Rodríguez for many useful suggestions and encouragements. G. Manno thanks the Department of Mathematics “E. De Giorgi” of University of Salento and PRIN 2005/2007 “Leggi di conservazione e termodinamica in meccanica dei continui e in teorie di campo” for financial support and University of Salamanca for hospitality. F. Pugliese thanks the Department of Mathematics “E. De Giorgi” of University of Salento and University of Salamanca for hospitality.
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Alonso Blanco, R., Manno, G. & Pugliese, F. Contact Relative Differential Invariants for Non Generic Parabolic Monge-Ampère Equations. Acta Appl Math 101, 5–19 (2008). https://doi.org/10.1007/s10440-008-9204-8
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DOI: https://doi.org/10.1007/s10440-008-9204-8