一类可映射为Riemann空间的Riemann-Cartan位形空间

一般来说,Riemann-Cartan位形空间中的挠率将破坏其辛结构,但存在一类特殊的、本质上具有辛结构的Riemann-Cartan位形空间。通过引入一个恰当的无约束的一阶线性不可积映射,可以将此类特殊的Riemann-Cartan位形空间映射为一个Riemann位形空间,说明此类特殊的Riemann-Cartan位形空间本质上是一个完整约束系统的位形空间。

A Kind of Riemann Cartan Configuration Space That Can Be Mapped to a Riemann Space

In general,the torsion in a Riemann-Cartan configuration space damages its symplectic structure.But there is a special kind of Riemann-Cartan configuration space that essentially has a symplectic structure.By a proper unconstrained first-order linear mapping,the special Riemann-Cartan configuration space can be mapped to a Riemann configuration space,which shows that the special Riemann-Cartan configuration space is essentially a configuration space with a holo-nomic constrained system.