Special holonomy on special spaces

  • We characterise simply-connected biquotients which potentially admit metrics of holonomy G_2. We prove that there are at most three real homotopy types of rationally elliptic such manifolds - all of them being formal. In the course of this examination we classify rationally elliptic homotopy types and characterise 7-dimensional simply-connected biquotients from a rational point of view. Moreover, we also investigate further manifolds of special holonomy, like manifolds of holonomy Spin(7) or Sp(n)\Sp(1) in special situations provided by rational ellipticity or geometric formality.

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Metadaten
Author:Manuel AmannGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/83640
URL:https://arxiv.org/abs/1403.1442
Parent Title (English):arXiv
Type:Preprint
Language:English
Year of first Publication:2014
Release Date:2021/02/21
Issue:arXiv:1403.1442
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie