Go To Slide: 2001: A Spacetime Odyssey Title Equivalence Problem Connection Given a Metric Classes of Manifolds Calabi-Yau Manifolds Classes of Manifolds Calabi-Yau Manifolds Space of SU(n) Metrics Sigma Model Mirror Symmetry Homogeneous Polynomial Candelas' Formula Existence of G2 Manifolds Understanding Parametrization Joyce's Examples (M \D) x S1 G2 and Calabi-Yau Geometric Realization Ricci Flat Metric Three Plus One Bartnik-Mckinnon Hawking-Penrose Apparent Horizon? Spacelike Hypersurface Inequality In General, Define a Functional Variational Formulas One Proves...