Vector bundles of non-negative curvature over cohomogeneity one manifolds

Autor:	Amann, Manuel, González-Álvaro, David, Zibrowius, Marcus
Rok vydání:	2019
Předmět:	Mathematics - Differential Geometry Mathematics - Algebraic Topology Mathematics - K-Theory and Homology 53C20 57S15 19M05 (Primary) 55N91 57T15 55P62 19L47 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 suitable stabilization. Beside explicit constructions of the metrics, this is achieved by identifying equivariant structures upon these vector bundles via a comparison of their equivariant and non-equivariant K-theory. For this, in particular, we transcribe equivariant K-theory to equivariant rational cohomology and investigate surjectivity properties of induced maps in the Borel fibration via rational homotopy theory. Comment: Version accepted for publication in Advances in Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.05248 Zobrazit plný text záznamu View this record from Arxiv