Manifolds admitting a metric with co-index of symmetry 4

2018/12/12 by Silvio Reggiani, Reggiani, Silvio · 1 citation
Mathematics · #53C30 #53C35 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C30 #msc:53C35

paper · pdf · doi:10.48550/arxiv.1812.04780

10 pages. We add Theorem 4.1 and an appendix on strongly symmetric autoparallel distributions

arxiv created 2019/07/22 · arxiv updated 2019/07/24

Abstract

By a recent result, it is known that compact homogeneous spaces with co-index of symmetry 4 are quotients of a semisimple Lie group of dimension at most 10. In this paper we determine exactly which ones of these spaces actually admit such a metric. For all the admissible spaces we construct explicit examples of these metrics.

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• The distribution of symmetry of Lorentzian naturally reductive nilmanifolds

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