标题： 超微分同胚群的非线性实现、超空间中的几何对象和积分不变量 显示英文标题

标题： Nonlinear realizations of the (super)diffeomorphism groups, geometrical objects and integral invariants in the superspace

摘要： 结果表明，任何（超）空间的vielbeins和联络都可以自然地用相应（超）空间的无限维微分同胚群的非线性实现来描述。 从不变的嘉当外微分 $\Omega$ - 形式构造积分不变量的方法被推广到了超空间的情形。 显示英文摘要

摘要： It is shown that vielbeins and connections of any (super)space are naturally described in terms of nonlinear realizations of infinite - dimensional diffeomorphism groups of the corresponding (super)space. The method of construction of integral invariants from the invariant Cartan's differential $\Omega$ - forms is generalized to the case of superspace.