|
gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
gptkb:general_relativity
mathematical physics
|
|
gptkbp:concerns
|
smooth manifolds
complex manifolds
topological manifolds
|
|
gptkbp:field
|
gptkb:topology
differential geometry
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Manifold theory
|
|
gptkbp:includes
|
gptkb:Lie_groups
gptkb:vector_bundles
homology
cohomology
charts
connections
differential forms
atlases
Riemannian metrics
curvature
orientability
classification of manifolds
differentiable structures
fiber bundles
embedding theorems
tangent spaces
transition maps
|
|
gptkbp:notableContributor
|
gptkb:Henri_Poincaré
gptkb:Michael_Atiyah
gptkb:Simon_Donaldson
gptkb:Stephen_Smale
gptkb:Hassler_Whitney
gptkb:Bernhard_Riemann
gptkb:John_Milnor
gptkb:René_Thom
gptkb:Shing-Tung_Yau
gptkb:William_Thurston
|
|
gptkbp:originatedIn
|
19th century
|
|
gptkbp:relatedTo
|
gptkb:algebraic_geometry
gptkb:topology
global analysis
symplectic geometry
complex geometry
|
|
gptkbp:studies
|
manifolds
|
|
gptkbp:usedBy
|
gptkb:mathematician
physicists
|
|
gptkbp:usedIn
|
gptkb:gauge_theory
gptkb:quantum_field_theory
gptkb:string_theory
|
|
gptkbp:bfsParent
|
gptkb:Tangent_space
|
|
gptkbp:bfsLayer
|
7
|