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Corchete y curvatura
Palabras clave:
Lie Bracket, Curvature tensor, Affine connection, 2000 Mathematics Subject Classification, Primary: 53B20, Secondary: 53B21 (es)Descargas
La primera parte del artículo presenta al corchete de Lie asociado al problema de la comutatividad de dos flujos. En la segunda parte se introducen
las definiciones básicas de conexión y curvatura en fibrados vectoriales, subrayando la relación corchete-curvatura. Finalmente, usando conexiones afines
localmente definidas, se da una demostración original y sencilla de un teorema de Eugenio Beltrami. Este artículo apunta a un lector no especialista (e.g. un
estudiante de doctorado en matemática o física, etc) en geometría diferencial local.
Referencias
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