Gabriel Ayine (13 results)

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Paperback or Softback. Condition: New. Topics in the Differential Geometry of Supermanifolds. Book.

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Condition: New. In English.

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Condition: New. 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.

Taschenbuch. Condition: Neu. Topics In The Differential Geometry of Supermanifolds | Super Holonomy Theorem | Gabriel Ayine | Taschenbuch | Kartoniert / Broschiert | Englisch | 2008 | VDM Verlag Dr. Müller | EAN 9783639043075 | Verantwortliche Person für die EU: OmniScriptum GmbH & Co. KG, Bahnhofstr. 28, 66111 Saarbrücken, info[at]akademikerverlag[dot]de | Anbieter: preigu. …

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PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

Taschenbuch. Condition: Neu. 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.…