论文标题
广义几何形状上的度量多项式结构
Metric polynomial structures on generalized geometry
论文作者
论文摘要
在本文档中,我们研究了可以定义为广义切线束$ \ mathbb tm的部分的不同几何结构之间的相互作用:= tm \ oplus t^*m \ to m $。特别是,我们在$(α,\ varepsilon)$度量结构的框架中,在$ \ mathbb tm $上相对于各种广义多项式结构的行为;以及广义多项式结构的换向或反标记,形成三重结构。
In this document, we study the interaction between different geometric structures that can be defined as morphisms of sections of the generalized tangent bundle $\mathbb TM:= TM\oplus T^*M\to M$. In particular, we show the behaviour of various generalized polynomial structures with respect to different metrics on $\mathbb TM$, in the frame of $(α, \varepsilon)$-metric structures; and the commutation or anti-commutation of generalized polynomial structures, forming triple structures.