Abstract
Following Getzler's idea from the geometric viewpoint as to symbol calculus on a spin manifold, we introduce a new symbol calculus of $H$-pseudodifferential operators on a contact Riemannian manifold with contact distribution $H$. An explicit formula for the top grading part of the symbol of the composite of $H$-differential operators is presented.
Funding Statement
The author was partially supported by JSPS KAKENHI Grant Number JP21K03219
Citation
Masayoshi Nagase. "Getzler's symbol calculus and the composition of differential operators on contact Riemannian manifolds." Osaka J. Math. 60 (4) 799 - 813, October 2023.
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