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math.DG2017
Jacobians with prescribed eigenvectors
Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan
Let be open and let be a partial frame on , that is a set of linearly independent vector fields prescribed on (). We consi…
math.AP2017
On Two Theorems of Darboux
Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan
We provide precise formulations and proofs of two theorems from Darboux's lectures on orthogonal systems. These results provide local existence and uniqueness of solutions to certa…