A Remark on Positively Curved 4-Manifolds

Autoren: Christian Bär (1994)

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.

Zeitschrift:
Differential Geom. Appl.
Verlag:
Elsevier
Seiten:
71-75
Band:
4, no. 1

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