Riemannian normal coordinates

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf coordinate system
gptkbp:application simplifies local computations on manifolds
gptkbp:centeredIn point on a Riemannian manifold
gptkbp:field differential geometry
https://www.w3.org/2000/01/rdf-schema#label Riemannian normal coordinates
gptkbp:introduced gptkb:Bernhard_Riemann
gptkbp:property Christoffel symbols vanish at the center
geodesics through the center are straight lines
metric tensor at the center equals the Euclidean metric
gptkbp:relatedTo exponential map
gptkbp:usedIn gptkb:Riemannian_geometry
gptkbp:bfsParent gptkb:Riemannian_geometry
gptkbp:bfsLayer 5