标题： 接触度量流形的维克型变形量子化 显示英文标题

标题： Wick-type deformation quantization of contact metric manifolds

摘要： 我们构造了接触度量流形的Wick型变形量子化。 该构造是完全规范的，不涉及任何任意选择。 与辛或泊松流形的情况不同，由于量子化可能存在的障碍，不是每个一般的接触度量流形上的经典可观测量都可以提升为量子可观测量。 然而我们证明，对于Sasakian流形，所有这些障碍都会消失。 显示英文摘要

摘要： We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic or Poisson manifolds, not every classical observable on a general contact metric manifold can be promoted to a quantum one due to possible obstructions to quantization. We prove, however, that all these obstructions disappear for Sasakian manifolds.