Hadamard spaces

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:topology
gptkbp:alsoKnownAs gptkb:CAT(0)_spaces
gptkbp:characterizedBy CAT(0) inequality
gptkbp:generalizes gptkb:Euclidean_space
gptkb:Hilbert_space
gptkbp:hasProperty complete
simply connected
non-positive curvature
uniquely geodesic
https://www.w3.org/2000/01/rdf-schema#label Hadamard spaces
gptkbp:namedAfter gptkb:Jacques_Hadamard
gptkbp:relatedTo Riemannian manifolds of non-positive curvature
gptkbp:studiedIn geometric group theory
metric geometry
gptkbp:usedIn optimization
fixed point theory
group actions
gptkbp:bfsParent gptkb:CAT(0)_spaces
gptkbp:bfsLayer 8