Topics In The Differential Geometry of Supermanifolds : Super Holonomy Theorem
Language: English
Published by VDM Verlag Dr. Müller, 2008
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 43.30
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nach der Bestellung gedruckt Neuware - Printed after ordering - The book combines the algebraic and differentialgeometric approaches to supermanifold theory. Itbegins with a superspace, constructed by taking theCartesian product of copies of the even and odd partsof an infinite-dimensional Banach Grassmann algebra.The superspace serves as a model space of G-infinitesupermanifolds. The theory of super Lie groups andsuper Lie algebras, (in particular the existencetheorems on super Lie groups) is given. Superprincipal fiber bundles equipped with connections andthe action of super Lie groups and supervector fieldsare introduced. The concept of parallel transportalong smooth curves is introduced in the same way asin conventional differential geometry. It is shownthat a smooth curve in the base space can be lifteduniquely into the bundle and that paralleldisplacements along closed smooth curves form agroup, the super holonomy group . It is furthershown that the group is a sub-super Lie group of thestructure group of the bundle. The result followsfrom the super analogues of the Freudenthal theoremand the reduction theorem of bundles. The bookconcludes with a proof of a super version of theAmbrose-Singer holonomy theorem.…
Seller Inventory # 9783639043075
- Title
- Topics In The Differential Geometry of Supermanifolds : Super Holonomy Theorem
- Author
- Gabriel Ayine
- Publisher
- VDM Verlag Dr. Müller
- Publication year
- 2008
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3639043073
- ISBN 13
- 9783639043075
- Item weight
- 135 grams
- Dimensions
- 220x150x6 mm
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