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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