Generalized Calabi-Yau manifolds(11)

A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphis

3.Itisclearthattheproductoftwogeneralizedcomplexmanifoldsisageneralizedcomplexmanifold.Similarlyif(M1, 1),(M2, 2)aretwogeneralizedCalabi-Yaumanifolds,thenifp1,p2denotetheprojectionsfromtheproductM1×M2,

=p

1 1∧p2 2

de nesageneralizedCalabi-Yaustructureontheproduct.Theproductofanoddtypewithaneventypeisoddandtheproductoftwooddortwoeventypesiseven.

4.2TheB- eld

IfBisarealclosed2-form,and(M, )ageneralizedCalabi-Yaumanifoldthen

(expB) =(1+B+1

搜索“diyifanwen.net”或“第一范文网”即可找到本站免费阅读全部范文。收藏本站方便下次阅读，第一范文网，提供最新工程科技Generalized Calabi-Yau manifolds(11)全文阅读和word下载服务。