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
Geography of 4-manifolds with positive scalar curvature
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DOI: 10.1016/j.exmath.2021.05.003
Abstract: Abstract We discuss the geography problem of closed oriented 4-manifolds that admit a Riemannian metric of positive scalar curvature, and use it to survey mathematical work employed to address Gromov’s observation that manifolds with positive… read more here.
Keywords: positive scalar; manifolds positive; geography manifolds; scalar curvature ... See more keywords