二维情况下的芬斯勒保角联络。正则实现
Finslerian angle-preserving connection in two-dimensional case. Regular realization
摘要：
我们证明了在二维Finsler空间中可以引入度量联络，使得沿着连接点的曲线的平行迁移保持两向量角和切向量的长度，从而实现了平行迁移下切空间的等距.在Finsleroid正则空间中，构造对于切向量的依赖性具有全局的$C^{\infty}$正则性.许多涉及的和重要的关系明确推导。关键词：芬斯勒度量，角度，连接，曲率张量
英文摘要：
We show that the metrical connection can be introduced in the two-dimensional Finsler space such that entailed parallel transports along curves joining points of the underlying manifold keep the two-vector angle as well as the length of the tangent vector, thereby realizing isometries of tangent spaces under the parallel transports. The curvature tensor is found. In case of the Finsleroid-regular space, constructions possess the $C^{\infty}$-regular status globally regarding the dependence on tangent vectors. Many involved and important relations are explicitly derived. Keywords: Finsler metrics, angle, connection, curvature tensors
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