Kernel of evolution operator in the space of sections of a vector bundle as integral over trajectories

Space of Second-Order Linear Differentia

Space of Second-Order Linear Differential Operators as a Module over the Lie Algebra of Vector Fields

✍ C. Duval; V.Yu. Ovsienko 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

The space of linear differential operators on a smooth manifold M has a natural one-parameter family of Diff(M )-(and Vect(M )-) module structures, defined by their action on the space of tensor densities. It is shown that, in the case of secondorder differential operators, the Vect(M)-module struct