Wick-type deformation quantization of contact metric manifolds

DOI10.1007/S11005-024-01787-YarXiv2311.12767OpenAlexW4392545808MaRDI QIDQ6198260

Boris M. Elfimov, Alexey A. Sharapov

Publication date: 20 March 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.12767

zbMATH Keywords

deformation quantizationcontact metric manifoldsWick quantizationSasakian geometry

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Deformation quantization, star products (53D55)

Cites Work

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• Infinite dimensional moment map geometry and closed Fedosov's star products
• General concept of quantization
• Adapted connections on metric contact manifolds
• On differentiable manifolds with contact metric structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. II
• Les variétés de Jacobi et leurs algèbres de Lie associees
• A Fedosov star product of the Wick type for Kähler manifolds
• Fedosov connections on Kähler symmetric manifolds and trace density computation
• Deformation quantizations with separation of variables on a Kähler manifold
• Deformation quantization of contact manifolds
• Differential geometry and analysis on CR manifolds
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Variational Problems on Contact Riemannian Manifolds
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• LOCAL LIE ALGEBRAS
• Wick type deformation quantization of Fedosov manifolds
• Almost-Kähler deformation quantization.

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