Manifolds admitting a metric with co-index of symmetry 4

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

paper · doi:10.48550/arxiv.1812.04780

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.

Cited by

• The distribution of symmetry of Lorentzian naturally reductive nilmanifolds

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