Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature, I

Riemannian metrics of positive scalar cu

Riemannian metrics of positive scalar curvature on compact manifolds with boundary

✍ Pawel Gajer 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 463 KB

We prove that any metric of positive scalar curvature on a manifold X extends to the trace of any surgery in codim > 2 on X to a metric of positive scalar curvature which is product near the boundary. This provides a direct way to construct metrics of positive scalar curvature on compact manifolds w