A note on rigidity of Einstein four-manifolds with positive sectional curvature
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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
Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant
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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