Andere Kunden interessierten sich auch für
![GLOBAL DIFFERENTIAL GEOMETRY OF WEINGARTEN SURFACE AND HYPERSURFACE]( "GLOBAL DIFFERENTIAL GEOMETRY OF WEINGARTEN SURFACE AND HYPERSURFACE")
GLOBAL DIFFERENTIAL GEOMETRY OF WEINGARTEN SURFACE AND HYPERSURFACE44,99 €![On the Geometry of Instanton Moduli Spaces]( "On the Geometry of Instanton Moduli Spaces")
On the Geometry of Instanton Moduli Spaces32,99 €![Global differential geometry of hyperbolic manifolds]( "Global differential geometry of hyperbolic manifolds")
Global differential geometry of hyperbolic manifolds44,99 €![Selected Topics of Computational Geometry]( "Selected Topics of Computational Geometry")
Selected Topics of Computational Geometry32,99 €![The Spectra of Differential Operators]( "The Spectra of Differential Operators")
The Spectra of Differential Operators32,99 €![Application on the surface of Differential Geometry]( "Application on the surface of Differential Geometry")
Application on the surface of Differential Geometry26,99 €![Topics in Differential Geometry]( "Topics in Differential Geometry")
Topics in Differential Geometry38,99 €
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.
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.