Spin c -structures and Dirac operators on contact manifolds

Any contact metric manifold has a Spin c -structure. Thus, we study on any Spin c -spinor bundle of a contact metric manifold, Dirac type operators associated to the generalized Tanaka–Webster connection. Bochner–Lichnerowicz type formulas are derived in this setting and vanishing theorems are obtai...

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Bibliographic Details
Published in:Differential geometry and its applications Vol. 22; no. 2; pp. 229 - 252
Main Author: Petit, Robert
Format: Journal Article
Language:English
Published: Elsevier B.V 01.03.2005
Subjects:
[formula omitted]-structure
Contact metric manifold
Dirac operator
Tanaka–Webster connection
Vanishing theorems
53C20
53D10
Contact metric manifold
Tanaka–Webster connection
53C27
32V05
53C25
Dirac operator
Spin c -structure
Vanishing theorems
ISSN:0926-2245, 1872-6984
Online Access:Get full text
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Summary:Any contact metric manifold has a Spin c -structure. Thus, we study on any Spin c -spinor bundle of a contact metric manifold, Dirac type operators associated to the generalized Tanaka–Webster connection. Bochner–Lichnerowicz type formulas are derived in this setting and vanishing theorems are obtained.
ISSN:0926-2245
1872-6984
DOI:10.1016/j.difgeo.2005.01.003