Riemannian submanifold

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
differential geometry concept
gptkbp:definedIn submanifold of a Riemannian manifold with induced metric
gptkbp:example curve in a Riemannian manifold
surface in Euclidean 3-space
gptkbp:hasApplication gptkb:general_relativity
geometric analysis
theory of minimal surfaces
gptkbp:hasConcept gptkb:Weingarten_map
mean curvature
second fundamental form
Gauss equation
normal bundle
gptkbp:hasProperty gptkb:induced_Riemannian_metric
https://www.w3.org/2000/01/rdf-schema#label Riemannian submanifold
gptkbp:relatedTo extrinsic geometry
intrinsic geometry
isometric immersion
gptkbp:studiedBy differential geometry
gptkbp:subclassOf gptkb:Riemannian_manifold
submanifold
gptkbp:bfsParent gptkb:Riemannian_geometry
gptkbp:bfsLayer 5