Quasitoric manifolds homeomorphic to homogeneous spaces

Details Quasitoric manifolds homeomorphic to homogeneous spaces Quasitoric manifolds homeomorphic to homogeneous spaces

2011-01-05

arxiv.org/abs/1101.0999v2

Mathematics

Geometric Topology

6 pages, minor changes, accepted for publication in Osaka J. Math

Scientific paper

We present some classification results for quasitoric manifolds (M) with
(p_1(M)=-\sum a_i^2) for some (a_i\in H^2(M)) which admit an action of a
compact connected Lie-group (G) such that (\dim M/G \leq 1). In contrast to
Kuroki's work we do not require that the action of (G) extends the torus action
on (M).

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