\(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds (Q1775938)
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scientific article; zbMATH DE number 2165120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds |
scientific article; zbMATH DE number 2165120 |
Statements
\(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds (English)
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4 May 2005
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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.
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contact metric manifold
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spin\(^c\)-structure
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Tanaka-Webster connection
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Dirac operator
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vanishing theorems
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