Manifolds with positive curvature operators are space forms
Christoph Böhm
University of Münster
October 30, 2006
Abstract: We confirm the
following conjecture of Hamilton: On a compact manifold the normalized
Ricci flow evolves a Riemannian metric with positive curvature operator
to a limit metric with constant sectional curvature. The proof is based
on Hamilton's maximum principle and a new algebraic identity for
curvature operators. Joint work with B. Wilking.