Nonnegative curvature, low cohomogeneity and complex cohomology

We construct several infinite families of nonnegatively curved manifolds of low cohomogeneity and small dimension which can be distinguished by their cohomology rings. In particular, we exhibit an infinite family of eight-dimensional cohomogeneity one manifolds of nonnegative curvature with pairwise...

Verfasser: Dessai, Anand
Dokumenttypen:Artikel
Medientypen:Text
Erscheinungsdatum:2016
Publikation in MIAMI:22.08.2016
Datum der letzten Änderung:16.04.2019
Quelle:Münster Journal of Mathematics, 9 (2016), S. 187-206
Verlag/Hrsg.: Mathematisches Institut (Universität Münster)
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-35209714629
Weitere Identifikatoren:DOI: 10.17879/35209714038
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-35209714629
Onlinezugriff:mjm_2016_9_187-206.pdf

We construct several infinite families of nonnegatively curved manifolds of low cohomogeneity and small dimension which can be distinguished by their cohomology rings. In particular, we exhibit an infinite family of eight-dimensional cohomogeneity one manifolds of nonnegative curvature with pairwise nonisomorphic complex cohomology rings.