query: Invariance of domain generalized to manifolds.
positive_passages.docid: 19453
positive_passages.text: Invariance of domain for manifold
negative_passages.docid: 32420
negative_passages.text: A complete orthonormal system contained in a dense sub-space.
negative_passages.docid: 93062
negative_passages.text: Is Every Invariant Subspace the Kernel of an polynomial applied in the operator?
negative_passages.docid: 62950
negative_passages.text: Use implicit function theorem to show $O(n)$ is a manifold
negative_passages.docid: 13964
negative_passages.text: Manifold of Density Matrices
negative_passages.docid: 108687
negative_passages.text: Open subsets in a manifold as submanifold of the same dimension?
negative_passages.docid: 19497
negative_passages.text: Analogue of spherical coordinates in $n$-dimensions
negative_passages.docid: 59833
negative_passages.text: Isometric embedding of Schwarzchild metric in $\mathbb{R}^4$
negative_passages.docid: 88173
negative_passages.text: Finding bump function on a smooth manifold using partitions of unity.
negative_passages.docid: 88013
negative_passages.text: injective linear transformation basis.
negative_passages.docid: 16293
negative_passages.text: N-dimensional generalization of vector curl from elements of Jacobian
negative_passages.docid: 75764
negative_passages.text: Regularity of a domain - definition
negative_passages.docid: 21198
negative_passages.text: Proving that the general linear group is a differentiable manifold
negative_passages.docid: 157322
negative_passages.text: Translation invariant measures on $\mathbb R$.
negative_passages.docid: 146519
negative_passages.text: gaussian and mean curvatures
negative_passages.docid: 86993
negative_passages.text: Differentiable injective function betweem manifolds
negative_passages.docid: 110691
negative_passages.text: Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other