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- Collapsing_manifold abstract "In Riemannian geometry, a collapsing or collapsed manifold is an n-dimensional manifold M that admits a sequence of Riemannian metrics gn, such that as n goes to infinity the manifold is close to a k-dimensional space, where k < n, in the Gromov–Hausdorff distance sense. Generally there are some restrictions on the sectional curvatures of (M, gn). The simplest example is a flat manifold, whose metric can be rescaled by 1/n, so that the manifold is close to a point, but its curvature remains 0 for all n.".
- Collapsing_manifold wikiPageExternalLink Lecture%201%20-%20Examples%20of%20Collapse.pdf.
- Collapsing_manifold wikiPageID "16838918".
- Collapsing_manifold wikiPageRevisionID "581096531".
- Collapsing_manifold hasPhotoCollection Collapsing_manifold.
- Collapsing_manifold subject Category:Manifolds.
- Collapsing_manifold subject Category:Riemannian_geometry.
- Collapsing_manifold type Artifact100021939.
- Collapsing_manifold type Conduit103089014.
- Collapsing_manifold type Manifold103717750.
- Collapsing_manifold type Manifolds.
- Collapsing_manifold type Object100002684.
- Collapsing_manifold type Passage103895293.
- Collapsing_manifold type PhysicalEntity100001930.
- Collapsing_manifold type Pipe103944672.
- Collapsing_manifold type Tube104493505.
- Collapsing_manifold type Way104564698.
- Collapsing_manifold type Whole100003553.
- Collapsing_manifold type YagoGeoEntity.
- Collapsing_manifold type YagoPermanentlyLocatedEntity.
- Collapsing_manifold comment "In Riemannian geometry, a collapsing or collapsed manifold is an n-dimensional manifold M that admits a sequence of Riemannian metrics gn, such that as n goes to infinity the manifold is close to a k-dimensional space, where k < n, in the Gromov–Hausdorff distance sense. Generally there are some restrictions on the sectional curvatures of (M, gn).".
- Collapsing_manifold label "Collapsing manifold".
- Collapsing_manifold sameAs m.0407y10.
- Collapsing_manifold sameAs Q5145943.
- Collapsing_manifold sameAs Q5145943.
- Collapsing_manifold sameAs Collapsing_manifold.
- Collapsing_manifold wasDerivedFrom Collapsing_manifold?oldid=581096531.
- Collapsing_manifold isPrimaryTopicOf Collapsing_manifold.