query: Solution to DE over closed smooth manifold
positive_passages.docid: 107473
positive_passages.text: proof that on a compact manifold a vector field is complete
negative_passages.docid: 19453
negative_passages.text: Invariance of domain for manifold
negative_passages.docid: 61446
negative_passages.text: Fixed point of interior of closed disk
negative_passages.docid: 128862
negative_passages.text: Prove no existing a smooth function satisfying ... related to Morse Theory
negative_passages.docid: 66073
negative_passages.text: find the general integral manifolds of a given distribution
negative_passages.docid: 43294
negative_passages.text: Solution to 2nd order PDE
negative_passages.docid: 148720
negative_passages.text: Reference for Lie-algebra valued differential forms
negative_passages.docid: 137650
negative_passages.text: Good book about differential forms
negative_passages.docid: 119399
negative_passages.text: Solving a PDE containing DiracDelta
negative_passages.docid: 128410
negative_passages.text: Showing that the set of fixed points is a smooth manifold
negative_passages.docid: 10785
negative_passages.text: Form of the Classical EM Lagrangian
negative_passages.docid: 99230
negative_passages.text: If a manifold M has zero Euler characteristic, there is a non-vanishing vector field on it
negative_passages.docid: 84419
negative_passages.text: Product of manifolds & orientability
negative_passages.docid: 21198
negative_passages.text: Proving that the general linear group is a differentiable manifold
negative_passages.docid: 53809
negative_passages.text: Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions
negative_passages.docid: 63098
negative_passages.text: Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
negative_passages.docid: 27812
negative_passages.text: Understanding the differential $dx$ when doing $u$-substitution