Studying noncompact manifolds with a flatness property, there is the notion of an asymptotically Euclidean manifold, and there is the notion of an asymptotically flat manifold which is defined in terms of curvature decay. Asymptotically Euclidean manifolds are asymptotically flat, but we shall see t
Asymptotically flat manifolds of nonnegative curvature
✍ Scribed by Günter Drees
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 780 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider a class of second-order linear elliptic operators, intrinsically defined on Riemannian manifolds, that correspond to nondivergent operators in Euclidean space. Under the assumption that the sectional curvature is nonnegative, we prove a global Krylov-Safonov Harnack inequality and, as a
An analogue of Calabi's conjecture was posed on a class of complete noncompact Kihler manifolds [5], then solved on the simplest of them, the complex n-space with n > 2 [9]. Here we prove the conjecture in its full generality, by inverting an elliptic complex Monge-Amp&e operator between suitable Fr