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math.DG2015
Shape maps for second order partial differential equations
O. Rossi, D. J. Saunders, G. E. Prince
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a cong…
math.DG2014★ 2 cited
Tangent bundle geometry induced by second order partial differential equations
D. J. Saunders, O. Rossi, G. E. Prince
We show how the tangent bundle decomposition generated by a system of ordinary differential equations may be generalized to the case of a system of second order PDEs `of connection…