Curvature in Mathematics and Physics

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:concept
gptkbp:appliesTo	gptkb:space_curve gptkb:spacetime gptkb:plane_curve hypersurface
gptkbp:definedIn	change in direction of tangent geodesic deviation second derivative of position
gptkbp:hasType	gptkb:scalar_curvature Gaussian curvature Ricci curvature extrinsic curvature intrinsic curvature mean curvature sectional curvature
gptkbp:hasUnit	inverse length meter^-1 radian per meter
gptkbp:importantFor	gptkb:computer_graphics gptkb:Einstein_field_equations gptkb:astronomy gptkb:cosmology gptkb:geometry gptkb:optics gptkb:theory_of_relativity gptkb:topology engineering mechanics robotics
gptkbp:measures	gptkb:Riemann_curvature_tensor gptkb:Christoffel_symbols second fundamental form
gptkbp:relatedTo	gptkb:general_relativity gptkb:surface gptkb:Riemannian_geometry gptkb:Riemannian_manifold gptkb:elliptic_curve differential geometry
gptkbp:studiedBy	gptkb:mathematician physicists
gptkbp:symbol	gptkb:Ric G S K R kappa
gptkbp:bfsParent	gptkb:Shlomo_Sternberg
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	Curvature in Mathematics and Physics