Einstein $4-$Manifolds and Nonpositive Isotropic Curvature
This note is devoted to study the implications of nonpositive isotropic curvature and negative Ricci curvature for Einstein $4-$Manifolds.
math.DG↗
arXiv subjects
Ezio Costa
Publications and source records attributed to Ezio Costa.
Einstein Hermitian Metrics of Non Negative Sectional Curvature
We prove that a simpy connected Hermitian Einstein 4-manifold with non-negative sectional curvature is isometric to complex projective space $\mathbb{C}\mathbb{P}^{2}$ with the Fubini-Study metric or isometric to the product $\mathbb{S}^{2}\times \mathbb{S}^{2}$ with the canonical metric.
math.DG↗