标题： 旋量双线性和广义几何中的Killing-Yano形式 显示英文标题

标题： Spinor bilinears and Killing-Yano forms in generalized geometry

摘要： 广义旋量的双线性形式及其性质被研究。考虑了广义Killing旋量和twistor旋量方程，并找到了它们与特殊类型微分形式所满足方程之间的关系。广义几何中的Killing方程用广义协变导数来表示，Killing-Yano形式在广义几何框架中被描述。通过广义Killing旋量的旋量双线性形式，确定了广义Killing-Yano形式和广义闭共形Killing-Yano形式的构造。 显示英文摘要

摘要： Spinor bilinears of generalized spinors and their properties are investigated. Generalized Killing and twistor spinor equations are considered and their relations to the equations satisfied by special types of differential forms are found. Killing equation in generalized geometry is written in terms of the generalized covariant derivative and Killing-Yano forms are described in the framework of generalized geometry. Construction of generalized Killing-Yano forms and generalized closed conformal Killing-Yano forms in terms of the spinor bilinears of generalized Killing spinors are determined.