On metric connections with totally skew-symmetric torsion tensor

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...

Fuld beskrivelse

Gespeichert in:
Bibliografiske detaljer
Hovedforfatter: Vasilev, Stefan
Andre forfattere: Agricola, Ilka (Prof. Dr. habil.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprog:engelsk
Udgivet: Philipps-Universität Marburg 2019
Fag:
Generalized Weitzenböck formula
Mathematik
Zusammenhang <Mathematik>
Metric connections with totally skew torsion
Nabla-Killing and nabla-confor
Laplace-Operator
Laplace operators with torsion
Torsion <Mathematik>
Mathematics
Online adgang:PDF-Volltext
Tags: Tilføj Tag
Ingen Tags, Vær først til at tagge denne postø!
Beskrivelse
Summary: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, mimicking what is normally done with the Levi-Civita connection. We investigate the matter of skew torsion further by introducing weakly non-degenerate and non-degenerate split torsion and show examples of manifolds, admitting such connections.
Fysisk beskrivelse:77 Seiten
DOI:10.17192/z2020.0088

Lignende værker