Topics In The Differential Geometry of Supermanifolds - Super Holonomy Theorem
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1
Topics In The Differential Geometry of Supermanifolds: Super Holonomy Theorem (2008)
EN PB NWISBN: 9783639043075 bzw. 3639043073, in Englisch, 88 Seiten, VDM Verlag Dr. Müller, Taschenbuch, neu.
جديد من: $44.69 (19 ويقدم)
تستخدم من: $69.29 (3 ويقدم)
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Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 1-2 business days.
Von Händler/Antiquariat, marvelio.
The book combines the algebraic and differential geometric approaches to supermanifold theory. It begins with a superspace, constructed by taking the Cartesian product of copies of the even and odd parts of an infinite-dimensional Banach Grassmann algebra. The superspace serves as a model space of G-infinite supermanifolds. The theory of super Lie groups and super Lie algebras, (in particular the existence theorems on super Lie groups) is given. Super principal fiber bundles equipped with connections and the action of super Lie groups and supervector fields are introduced. The concept of parallel transport along smooth curves is introduced in the same way as in conventional differential geometry. It is shown that a smooth curve in the base space can be lifted uniquely into the bundle and that parallel displacements along closed smooth curves form a group, the ¿super holonomy group¿. It is further shown that the group is a sub-super Lie group of the structure group of the bundle. The result follows from the super analogues of the Freudenthal theorem and the reduction theorem of bundles. The book concludes with a proof of a super version of the Ambrose-Singer holonomy theorem. Paperback, التسمية: VDM Verlag Dr. Müller, VDM Verlag Dr. Müller, مجموعة المنتجات: Book, ونشرت: 2008-12-05, ستوديو: VDM Verlag Dr. Müller, رتبة المبيعات: 13958393.
Von Händler/Antiquariat, marvelio.
The book combines the algebraic and differential geometric approaches to supermanifold theory. It begins with a superspace, constructed by taking the Cartesian product of copies of the even and odd parts of an infinite-dimensional Banach Grassmann algebra. The superspace serves as a model space of G-infinite supermanifolds. The theory of super Lie groups and super Lie algebras, (in particular the existence theorems on super Lie groups) is given. Super principal fiber bundles equipped with connections and the action of super Lie groups and supervector fields are introduced. The concept of parallel transport along smooth curves is introduced in the same way as in conventional differential geometry. It is shown that a smooth curve in the base space can be lifted uniquely into the bundle and that parallel displacements along closed smooth curves form a group, the ¿super holonomy group¿. It is further shown that the group is a sub-super Lie group of the structure group of the bundle. The result follows from the super analogues of the Freudenthal theorem and the reduction theorem of bundles. The book concludes with a proof of a super version of the Ambrose-Singer holonomy theorem. Paperback, التسمية: VDM Verlag Dr. Müller, VDM Verlag Dr. Müller, مجموعة المنتجات: Book, ونشرت: 2008-12-05, ستوديو: VDM Verlag Dr. Müller, رتبة المبيعات: 13958393.
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Topics In The Differential Geometry of Supermanifolds: Super Holonomy Theorem (2008)
DE PBISBN: 9783639043075 bzw. 3639043073, in Deutsch, VDM Verlag Dr. Müller, Taschenbuch.
Lieferung aus: Vereinigte Staaten von Amerika, Versandkosten nach: LBY.
Von Händler/Antiquariat, Ergodebooks.
VDM Verlag Dr. Müller, 2008-12-05. Paperback. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service.
Von Händler/Antiquariat, Ergodebooks.
VDM Verlag Dr. Müller, 2008-12-05. Paperback. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service.
3
Topics In The Differential Geometry of Supermanifolds : Super Holonomy.
EN NWISBN: 9783639043075 bzw. 3639043073, in Englisch, VDM Verlag Dr. Müller, Saarbrücken, Deutschland, neu.
Lieferung aus: Vereinigte Staaten von Amerika, Lieferart: Free, Lieferung: Vereinigte Staaten von Amerika, Artikelstandort: USA, Versandkostenfrei.
Von Händler/Antiquariat, barnesandnobleinc - Barnes and Noble Store.
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4
Topics in the Differential Geometry of Supermanifolds by Ayine, Gabriel [Pape.
EN NWISBN: 9783639043075 bzw. 3639043073, in Englisch, VDM Verlag Dr. Müller, Saarbrücken, Deutschland, neu.
Lieferung aus: Vereinigte Staaten von Amerika, Lieferart: Free, Lieferung: Vereinigte Staaten von Amerika, Kanada, Artikelstandort: 08701 Lakewood,NJ,USA, Versandkostenfrei.
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5
NEW Topics in the Differential Geometry of Supermanifolds by Gabriel Ayine Paper
EN NWISBN: 9783639043075 bzw. 3639043073, in Englisch, VDM Verlag Dr. Müller, Saarbrücken, Deutschland, neu.
Lieferung aus: Vereinigte Staaten von Amerika, Lieferart: Free, Lieferung: Weltweit, Artikelstandort: USA, Versandkostenfrei.
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