Rigidity and other topological aspects of compact nonpositively curved manifolds
Rigidity and other topological aspects of compact nonpositively curved manifolds
Let M be a compact connected Riemannian manifold whose sectional curvature values are all nonpositive.Let T denote the fundamental group of M. We prove that any homotopy equivalence ƒ : N -> M from a compact closed manifold TV is homotopic to a homeomorphism, provided that m > 5 where …