On the topology of the space of pinched negatively curved metrics with finite volume and identical ends

Abstract

We prove that the space of complete, finite volume, pinched negatively curved Riemannian metrics on a smooth high-dimensional manifold is either empty or it is highly non-connected, provided their behavior at infinity is similar.

13 pages, 3 figures. Definition in Section 1 added. Revised arguments in Section 2

References in corpus (2)

• Operations on A-theoretic nil-terms
• On the topology of the space of pinched negatively curved metrics with finite volume and identical ends

Cited by in corpus (2)

• On the topology of moduli spaces of non-negatively curved Riemannian metrics
• On the topology of the space of pinched negatively curved metrics with finite volume and identical ends