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20122015
most citedEstimates for Minimal Volume and Minimal Curvature on 4-dimensional compact manifolds

3 citations · 4 across the 6 of their papers we have counts for

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math.DG2012

The scalar curvature and the biorthogonal curvature: A pinching problem

Ezio Araujo Costa

The famous pinching problem says that on a compact simply connected -manifold if its sectional curvature satisfies , then the manifold is homeomorphi…

math.DG2012★ 1 cited

A modified Yamabe invariant and a Hopf conjecture

Ezio Araujo Costa

In this paper we define the bi-orthogonal sectional curvature and we present two modified Yamabe invariants for compact 4-dimensional manifolds. In particular we obtained a relatio…

math.DG2012

Einstein Hermitian Metrics of Non Negative Sectional Curvature

Ezio Costa

We prove that a simpy connected Hermitian Einstein 4-manifold with non-negative sectional curvature is isometric to complex projective space with the Fub…