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asked Sep 16, 2020 at 20:19

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Elliptic operatores and Leibnitz rule

Let $M$ be a manifold. Does it admit an elliptic operator on $C^{\infty}(M)$ which satisfy Leibnitz rule?

Let $M$ be a symplectic manifold. Does it admit an elliptic operatir $D$ which satisfy $D(\{f,g\})=\{D(f),g\}+\{f,D(g)\}$?

dg.differential-geometry ap.analysis-of-pdes sg.symplectic-geometry elliptic-pde differential-operators

asked Sep 16, 2020 at 20:19

356
8
31
123