Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Abstract We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.

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Publication Details

Journal
Analysis and Geometry in Metric Spaces
Published
2025-01-01
DOI
https://doi.org/10.1515/agms-2025-0028
Citations
1
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
3.69
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article

Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Stefan Haller
1 citations
Analysis and Geometry in Metric Spaces
Advanced Algebra and Geometry
3.69
article

Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Stefan Haller
article en
1 citations

Abstract

Abstract We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.

Analysis and Geometry in Metric SpacesVol. 13(1)
University of Vienna (AT)
Openalex Percentile: Top 8%
Advanced Algebra and Geometry
3.69
DOIOpen Access PDFOpenAlex
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Analytic torsion of nilmanifolds with (2, 3, 5) distributions — Stefan Haller · Analysis and Geometry in Metric Spaces (2025) | TGRS Research Map | TGRS