Geodesic
Norm minima in certain Siegel leaves
Cai, Li1
1Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Nishiku, Fukuoka 819-0395, Japan
Algebraic and Geometric Topology, Tome 15 (2015) no. 1, pp. 445-466
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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.

DOI : 10.2140/agt.2015.15.445
Classification : 57R30, 57R70, 05E45
Keywords: foliation, moment-angle manifold, simplicial complex

Cai, Li  1

1 Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Nishiku, Fukuoka 819-0395, Japan 
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Cai, Li. Norm minima in certain Siegel leaves. Algebraic and Geometric Topology, Tome 15 (2015) no. 1, pp. 445-466. doi: 10.2140/agt.2015.15.445

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