CRITICAL EXPONENT OF NEGATIVELY CURVED THREE MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Negatively Ricci Curved Manifolds
In this paper we announce the following result: “Every manifold of dimension ≥ 3 admits a complete negatively Ricci curved metric.” Furthermore we describe some sharper results and sketch proofs.
متن کاملQuasi-conformal Rigidity of Negatively Curved Three Manifolds
In this paper we study the rigidity of infinite volume 3-manifolds with sectional curvature −b2 ≤ K ≤ −1 and finitely generated fundamental group. In-particular, we generalize the Sullivan’s quasiconformal rigidity for finitely generated fundamental group with empty dissipative set to negative variable curvature 3-manifolds. We also generalize the rigidity of Hamenstädt or more recently Besson-...
متن کاملL-cohomology of Negatively Curved Manifolds
We compute the L-cohomology spaces of some negatively curved manifolds. We deal with two cases: manifolds with finite volume and sufficiently pinched negative curvature, and conformally compact manifolds.
متن کاملUnclouding the Sky of Negatively Curved Manifolds
Let M be a complete simply connected Riemannian manifold, with sectional curvature K ≤ −1. Under some assumptions on the geometry of ∂M , which are satisfied for instance if M is a symmetric space, or has dimension 2, we prove that given any family of horoballs in M , and any point x0 outside these horoballs, it is possible to shrink uniformly, by a finite amount depending only on M , these hor...
متن کاملTopology of Non-negatively Curved Manifolds
An important question in the study of Riemannian manifolds of positive sectional curvature is how to distinguish manifolds that admit a metric with non-negative sectional curvature from those that admit one of positive curvature. Surprisingly, if the manifolds are compact and simply connected, all known obstructions to positive curvature are already obstructions to non-negative curvature. On th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2003
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089503001332