\(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds
type: Item
instance of: scholarly article
title: \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds
zbMATH Open document ID: 1074.53042
author: Robert Petit
published in: Differential Geometry and its Applications
publication date: 2005-05-04T00:00:00Z
review text: 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.
reviewed by: Joseph D. Zund
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 32Q60
zbMATH DE Number: 2165120
zbMATH Keywords: contact metric manifold
zbMATH Keywords: spin\(^c\)-structure
zbMATH Keywords: Tanaka-Webster connection
zbMATH Keywords: Dirac operator
zbMATH Keywords: vanishing theorems
Wikidata QID: Q115357987
MaRDI profile type: Publication
full work available at URL: j.difgeo.2005.01.003
OpenAlex ID: W1979036284
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DOI: 10.1016/J.DIFGEO.2005.01.003
description: scientific article; zbMATH DE number 2165120