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2001: A Spacetime Odyssey 00:00:00 Title 00:01:05 Equivalence Problem 00:01:37 Connection 00:03:16 Given a Metric 00:04:27 Classes of Manifolds 00:05:30 Calabi-Yau Manifolds 00:07:02 Classes of Manifolds 00:07:21 Calabi-Yau Manifolds 00:08:20 Space of SU(n) Metrics 00:09:28 Sigma Model 00:11:45 Mirror Symmetry 00:14:36 Homogeneous Polynomial 00:15:51 Candelas' Formula 00:17:15 Existence of G2 Manifolds 00:20:39 Understanding Parametrization 00:23:01 Joyce's Examples 00:25:25 (M \D) x S1 00:27:35 G2 and Calabi-Yau 00:28:35 Geometric Realization 00:30:04 Ricci Flat Metric 00:33:39 Three Plus One 00:35:48 Bartnik-Mckinnon 00:36:49 Hawking-Penrose 00:38:29 Apparent Horizon? 00:42:24 Spacelike Hypersurface 00:47:02 Inequality 00:48:35 In General, 00:48:59 Define a Functional 00:49:31 Variational Formulas 00:50:35 One Proves... 00:51:20
