Gauss–Codazzi equations

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf mathematical equations
gptkbp:appliesTo hypersurfaces
submanifolds
gptkbp:component gptkb:Codazzi–Mainardi_equations
Gauss equation
gptkbp:describes relationship between intrinsic and extrinsic curvature
gptkbp:expressedIn compatibility conditions for the first and second fundamental forms
gptkbp:field differential geometry
gptkbp:firstPublished 19th century
https://www.w3.org/2000/01/rdf-schema#label Gauss–Codazzi equations
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkb:Domenico_Codazzi
gptkbp:relatedTo gptkb:Riemannian_geometry
surface theory
gptkbp:usedIn gptkb:general_relativity
theory of surfaces
gptkbp:bfsParent gptkb:Louis_Gauss
gptkbp:bfsLayer 6