\(L^p\) pinching and compactness theorems for compact Riemannian manifolds. (English) Zbl 0937.53501

Yang, Deane

Séminaire de théorie spectrale et géométrie. Année 1987-1988. Chambéry: Univ. de Savoie, Fac. des Sciences, Service de Math. Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 6, 81-89 (1988).

See the author’s paper in Forum Math. 4, 323-333 (1992; Zbl 0753.53027).
For the entire collection see [Zbl 0825.00041].

MSC:

53C21	Methods of global Riemannian geometry, including PDE methods; curvature restrictions
58J60	Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
58J35	Heat and other parabolic equation methods for PDEs on manifolds

Keywords:

curvature bounds; heat equation; smoothing of a Riemannian metric; \(L^p\) pinching theorems; \(L^p\) compactness theorems

Citations:

Zbl 0753.53027; Zbl 0721.53039