Riemannian manifold

См. также в других словарях:

• Riemannian manifold — In Riemannian geometry, a Riemannian manifold ( M , g ) (with Riemannian metric g ) is a real differentiable manifold M in which each tangent space is equipped with an inner product g in a manner which varies smoothly from point to point. The… …   Wikipedia

• Riemannian manifold — римановое многообразие …   Большой англо-русский и русско-английский словарь

• Riemannian manifold — noun in Riemannian geometry, a real differentiable manifold M in which each tangent space is equipped with an inner product g, a Riemannian metric, in a manner which varies smoothly from point to point …   Wiktionary

• Riemannian manifold — Математика: риманово многообразие …   Универсальный англо-русский словарь

• pseudo-Riemannian manifold — noun in differential geometry, a generalization of a Riemannian manifold Syn: semi Riemannian manifold …   Wiktionary

• Pseudo-Riemannian manifold — In differential geometry, a pseudo Riemannian manifold (also called a semi Riemannian manifold) is a generalization of a Riemannian manifold. It is one of many things named after Bernhard Riemann. The key difference between the two is that on a… …   Wikipedia

• Sub-Riemannian manifold — In mathematics, a sub Riemannian manifold is a certain type of generalization of a Riemannian manifold. Roughly speaking, to measure distances in a sub Riemannian manifold,you are allowed to go only along curves tangent to so called horizontal… …   Wikipedia

• Cut locus (Riemannian manifold) — In Riemannian geometry, the cut locus of a point p in a manifold is roughly the set of all other points for which there are multiple minimizing geodesics connecting them from p, but it may contain additional points where the minimizing geodesic… …   Wikipedia

• pseudo-Riemannian manifold — Математика: псевдориманово многообразие …   Универсальный англо-русский словарь

• semi-Riemannian manifold — Математика: полуриманово многообразие …   Универсальный англо-русский словарь