Titel
Analytic Torsion of Generic Rank Two Distributions in Dimension Five
Abstract
We propose an analytic torsion for the Rumin complex associated with generic rank two distributions on closed 5-manifolds. This torsion behaves as expected with respect to Poincaré duality and finite coverings. We establish anomaly formulas, expressing the dependence on the sub-Riemannian metric and the 2-plane bundle in terms of integrals over local quantities. For certain nilmanifolds, we are able to show that this torsion coincides with the Ray–Singer analytic torsion, up to a constant.
Stichwort
Analytic torsionRumin complexRockland complexGeneric rank two distribution(2,3,5) distributionSub-Riemannian geometry
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1646054
Erschienen in
Titel
The Journal of Geometric Analysis
Band
32
Ausgabe
10
ISSN
1050-6926
Erscheinungsdatum
2022
Verlag
Springer Science and Business Media LLC
Projektnummer
P31663-N35 – Austrian Science Fund (FWF)
Projektnummer
Y963-N35 – Austrian Science Fund (FWF)
Erscheinungsdatum
2022
Zugänglichkeit
Rechteangabe
© The Author(s) 2022

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