\(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds
The author investigates \(\text{spin}^c\)-spinor bundles of a contact manifold, and the Dirac type operators associated to the generalized Tanaka-Webster connection. In this situation he derives the Bochner-Lichnerowicz type formulas and establishes two new vanishing theorems for harmonic and subharmonic spinors. Contents include: Introduction; Contact metric manifolds; \(\text{Spin}^c\)-structures and Dirac operators on contact metric manifolds; Lichnerowicz type formulas and vanishing theorems on \(\text{spin}^c\) contact manifolds; Changes of metrics on a spin contact metric manifolds and the Dirac operator.
scientific article; zbMATH DE number 2165120
scientific article