25.07.2024, 16:30
– Raum 0.14
Forschungsseminar Differentialgeometrie
Dirac eigenvalues, hyperspherical radius and applications
Christian Bär (UP)
Let M be an oriented connected compact Riemannian 4-manifold. We show that if the sectional curvature satisfies K ≥ 1 and the covariant differential of the curvature tensor satisfies |∇R|∞ ≤ 2/pi, then the intersection form of M is definite.