Getzler's symbol calculus and the composition of differential operators on contact Riemannian manifolds

MaRDI QIDQ6144557

Masayoshi Nagase

Publication date: 5 January 2024

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-60/issue-4/Getzlers-symbol-calculus-and-the-composition-of-differential-operators-on/5702ojm.full

zbMATH Keywords

contact Riemannian manifoldcontact distributionH-pseudodifferential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Global theory of symplectic and contact manifolds (53D35)

Cites Work

• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• A short proof of the local Atiyah-Singer index theorem
• A symbol calculus for foliations
• Dirac operators on the Fefferman spin spaces in almost CR-geometry
• On the curvature of the Fefferman metric of contact Riemannian manifolds
• Differential geometry and analysis on CR manifolds
• On the heat equation and the index theorem
• Calculus on Heisenberg Manifolds. (AM-119)
• Supersymmetry and the Atiyah-Singer index theorem
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