18 citations · 50 across the 28 of their papers we have counts for
15 papers · 1 filter
Addendum to "The -genus of -manifolds with finite second homotopy group"
Manuel Amann, Anand Dessai
In C. R. Math. Acad. Sci. Paris 348 (2010) pp. 283--285 (arXiv:0811.0840) we constructed examples of -manifolds with finite second homotopy group and non-vanishing -ge…
Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces
Manuel Amann
We prove several long-standing conjectures by Chen--Nagano on cohomological descriptions of the cardinalities of maximal antipodal sets in symmetric spaces. We actually extend thes…
On the formality of nearly Kähler manifolds and of Joyce's examples in -holonomy
Manuel Amann, Iskander A. Taimanov
It is a prominent conjecture (relating Riemannian geometry and algebraic topology) that all simply-connected compact manifolds of special holonomy should be formal spaces, i.e., th…
The flavour of intermediate Ricci and homotopy when studying submanifolds of symmetric spaces
Manuel Amann, Peter Quast, Masoumeh Zarei
We introduce a new technique to the study and identification of submanifolds of simply-connected symmetric spaces of compact type based upon an approach computing -positive Ricc…
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…
Vector bundles of non-negative curvature over cohomogeneity one manifolds
Manuel Amann, David González-Álvaro, Marcus Zibrowius
We provide several results on the existence of metrics of non-negative sectional curvature on vector bundles over certain cohomogeneity one manifolds and homogeneous spaces up to s…