Norm minima in certain Siegel leaves

Abstract

In this paper we shall illustrate that each polytopal moment-angle complex can be understood as the intersection of the minima of corresponding Siegel leaves and the unit sphere, with respect to the maximum norm. Consequently, an alternative proof of a rigidity theorem of Bosio and Meersseman is obtained; as piecewise linear manifolds, polytopal real moment-angle complexes can be smoothed in a natural way.

21 pages

References in corpus (2)

• Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds
• Geometric structures on moment-angle manifolds

Cited by in corpus (1)

• Exponential actions defined by vector configurations, Gale duality, and moment-angle manifolds