(G,X)-manifold - significado y definición. Qué es (G,X)-manifold
Diclib.com
Diccionario ChatGPT
Ingrese una palabra o frase en cualquier idioma 👆
Idioma:

Traducción y análisis de palabras por inteligencia artificial ChatGPT

En esta página puede obtener un análisis detallado de una palabra o frase, producido utilizando la mejor tecnología de inteligencia artificial hasta la fecha:

  • cómo se usa la palabra
  • frecuencia de uso
  • se utiliza con más frecuencia en el habla oral o escrita
  • opciones de traducción
  • ejemplos de uso (varias frases con traducción)
  • etimología

Qué (quién) es (G,X)-manifold - definición


(G,X)-manifold         
MATHEMATICAL CONCEPT
(G,X)-structure
In geometry, if X is a manifold with an action of a topological group G by analytical diffeomorphisms, the notion of a (G, X)-structure on a topological space is a way to formalise it being locally isomorphic to X with its G-invariant structure; spaces with a (G, X)-structure are always manifolds and are called (G, X)-manifolds. This notion is often used with G being a Lie group and X a homogeneous space for G.
G2 manifold         
SEVEN-DIMENSIONAL RIEMANNIAN MANIFOLD WITH HOLONOMY GROUP CONTAINED IN G2
Joyce manifold; G2-manifold
In differential geometry, a G2 manifold is a seven-dimensional Riemannian manifold with holonomy group contained in G2. The group G_2 is one of the five exceptional simple Lie groups.
Differentiable manifold         
MANIFOLD UPON WHICH IT IS POSSIBLE TO PERFORM CALCULUS (ANY DIFFERENTIABLITY CLASS)
Differential manifold; Smooth manifold; Smooth manifolds; Differentiable manifolds; Manifold/rewrite/differentiable manifold; Differental manifold; Sheaf of smooth functions; Geometric structure; Ambient manifold; Non-smoothable manifold; Curved manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts (atlas).

Wikipedia

(G,X)-manifold
In geometry, if X is a manifold with an action of a topological group G by analytical diffeomorphisms, the notion of a (G, X)-structure on a topological space is a way to formalise it being locally isomorphic to X with its G-invariant structure; spaces with a (G, X)-structure are always manifolds and are called (G, X)-manifolds. This notion is often used with G being a Lie group and X a homogeneous space for G.