Statements (43)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Architect
|
| gptkbp:contains |
Tangent_Spaces
|
| gptkbp:defines |
A tangent bundle is a topological construction that associates a tangent space to each point of a manifold.
|
| gptkbp:field |
2n for an n-dimensional manifold
|
| gptkbp:hasRelatedPatent |
gptkb:Quantum_Field_Theory
General Relativity Theoretical Physics String Theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tangent Bundles
|
| gptkbp:isAssociatedWith |
Differential Forms
Vector Fields |
| gptkbp:isCharacterizedBy |
Section
Rank Charts Dimension Coordinate Systems Transition Functions Local Triviality Projection Map Vector Bundle Smooth Structure Base Manifold Differentiable Manifolds Smooth Maps Total Space Fiber_Structure |
| gptkbp:isRelatedTo |
Symplectic Geometry
Cotangent Bundles Riemannian_Geometry Fiber_Bundles |
| gptkbp:isStudiedIn |
Topology
Algebraic_Geometry Mathematical_Physics |
| gptkbp:isUsedBy |
Pushforward
Lie Derivative Pullback |
| gptkbp:isUsedIn |
Machine Learning
Optimization Control Theory |
| gptkbp:relatedTo |
Differential Geometry
|
| gptkbp:usedIn |
Physics
Robotics Computer_Graphics |