The Poincare Conjecture and the Cosmological Constant
  The concept of deformation of Riemannian geometry is reviewed, with
applications to gravitation and cosmology. Starting with an analysis of the
cosmological constant problem, it is shown that space-times are deformable in
the sense of local change of shape. These deformations leave an observable
signature in the space-time, characterized by a conserved tensor, associated
with a tangent acceleration, defined by the extrinsic curvature of the
space-time. In the applications to cosmology, we find that the accelerated
expansion of the universe is the observable effect of the deformation,
dispensing with the cosmological constant and its problems.
