18 citations · 50 across the 28 of their papers we have counts for
29 papers
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…
Counter-Examples to a generalised Toral Rank Conjecture
Manuel Amann
The toral rank conjecture speculates that the sum of the Betti numbers of a compact manifold admitting a free action of a torus of rank is bounded from below by . Clearly,…
The Omnibus Conjecture---disproved
Manuel Amann
We provide various counter-examples to the long-standing so-called "Omnibus Conjecture" in Rational Homotopy Theory. That is, we show that a space with finite dimensional even-degr…
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…