Hadamard manifold
id:
hadamard-manifold-287-12905389
title:
Hadamard manifold
text:
In mathematics, a Hadamard manifold, named after Jacques Hadamard — more often called a Cartan–Hadamard manifold, after Élie Cartan — is a Riemannian manifold that is complete and simply connected and has everywhere non-positive sectional curvature. By Cartan–Hadamard theorem all Cartan–Hadamard manifolds are diffeomorphic to the Euclidean space R n . Furthermore it follows from the Hopf–Rinow theorem that every pairs of points in a Cartan–Hadamard manifold may be connected by a unique geodesic
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hadamard_manifold
date created:
date modified:
2023-08-16T21:43:37Z
main entity:
{"identifier":"Q3554817","url":"https://www.wikidata.org/entity/Q3554817"}
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13
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13