On metric connections with totally skew-symmetric torsion tensor

We consider a 1-parameter family of metric connections with totally skew-symmetric torsion tensors on a Riemannian manifold and derive a Weitzenböck formula for the Laplace operator, arising from such a connection. Various notions related to the family are defined and developed in the process, mimic...

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Bibliographic Details

Main Author:	Vasilev, Stefan
Contributors:	Agricola, Ilka (Prof. Dr. habil.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2019
Subjects:	Generalized Weitzenböck formula Metric connections with totally skew torsion Laplace operators with torsion Mathematik Zusammenhang <Mathematik> Nabla-Killing and nabla-confor Laplace-Operator Torsion <Mathematik> Mathematics
Online Access:	PDF Full Text
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