SU(3) structures on S2 bundles over four-manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2017)133
Abstract: A bstractWe construct globally-defined SU(3) structures on smooth compact toric varieties (SCTV) in the class of ℂℙ1$$ \mathbb{C}{\mathrm{\mathbb{P}}}^1 $$ bundles over M , where M is an arbitrary SCTV of complex dimension two. The construction… read more here.
Keywords: bundles four; four manifolds; structures bundles;
A note on rigidity of Einstein four-manifolds with positive sectional curvature
Sign Up to like & getrecommendations! Published in 2020 at "manuscripta mathematica"
DOI: 10.1007/s00229-020-01217-y
Abstract: In this paper, we first prove a topological obstruction for a four-dimensional manifold carrying an Einstein metric. More precisely, assume ( M , g ) is a closed Einstein four-manifold with $$Ric=\rho g$$ R i… read more here.
Keywords: einstein four; sectional curvature; positive sectional; four manifolds ... See more keywords
Nonsmoothable actions of Z2×Z2 on Spin four-manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107868
Abstract: We construct some nonsmoothable actions of Z2 * Z2 on spin four-manifolds by using an equivariant version of Furuta' s 10/8inequality. The examples satisfy following property: any proper subgroup of Z2 * Z2 is smoothable… read more here.
Keywords: actions spin; four manifolds; topology; nonsmoothable actions ... See more keywords
Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant
Sign Up to like & getrecommendations! Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz238
Abstract: We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally Kähler if and only if the determinant of the self-dual Weyl curvature is positive. read more here.
Keywords: weyl curvature; einstein four; four manifolds; self dual ... See more keywords