Geometric connections and geometric Dirac operators on contact manifolds |
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| Authors: | Liviu I Nicolaescu |
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| Institution: | Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA |
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| Abstract: | We construct some natural metric connections on metric contact manifolds compatible with the contact structure and characterized by the Dirac operators they determine. In the case of CR manifolds these are invariants of a fixed pseudo-hermitian structure, and one of them coincides with the Tanaka-Webster connection. |
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| Keywords: | 53B05 53C15 53D10 53D15 |
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