3 papers
math.DG2019
On the equivariant cohomology of cohomogeneity one Alexandrov spaces
Manuel Amann, Masoumeh Zarei
We give a characterization of those Alexandrov spaces admitting a cohomogeneity one action of a compact connected Lie group for which the action is Cohen--Macaulay. This genera…
math.DG2017
Cohomogeneity one Alexandrov spaces in low dimensions
Fernando Galaz-Garcia, Masoumeh Zarei
We classify closed, simply-connected cohomogeneity-one Alexandrov spaces in dimensions , and . We show that every closed, simply-connected smooth -orbifold, $2\leq n\l…
math.GT2015
Cohomogeneity one topological manifolds revisited
Fernando Galaz-Garcia, Masoumeh Zarei
We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification…