Tangent Bundle: Mathematics, Differentiable Manifold, Disjoint Union, Tangent Space, Projection (mathematics), Vector Bundle, Fiber Bundle, Dual Bundle, Disjoint Union (topology), Frame Bundle - Couverture souple

Couverture souple

ISBN 10 : 6130348118 ISBN 13 : 9786130348113

Editeur : Betascript Publishing, 2010

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The tangent bundle to a manifold is the prototypical example of a vector bundle (a fiber bundle whose fibers are vector spaces). A section of TM is a vector field on M, and the dual bundle to TM is the cotangent bundle, which is the disjoint union of the cotangent spaces of M. By definition, a manifold M is parallelizable if and only if the tangent bundle is trivial. By definition, a manifold M is framed if and only if the tangent bundle TM is stably trivial, meaning that for some trivial bundle E the Whitney sum TM oplus E is trivial.

Détails de l'édition

• Éditeur: Betascript Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 6130348118
• ISBN 13: 9786130348113
• Reliure: Broché
• Nombre de pages: 80
• Éditeur: Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible