标准框架与坐标手册
Handbook of normal frames and coordinates
摘要：
书的主要主题是一个最新的和深入的调查理论的正常框架和坐标在微分几何。本书可作为参考手册，回顾现有成果，介绍一些新的想法和发展。在书中可以找到几乎所有现有的基本结果和方法有关正常的框架和坐标。大部分的结果都表示在充分的细节与充分的，在某些情况下新的，证明。所有的经典结果都在不同的方向上得到了扩展和推广。定理的存在性，唯一性和，可能的话，完整的正常框架和坐标证明;大多数情况下，证明是建设性的，他们的一些部分可以独立地用于其他任务。除了发表的结果，他们的扩展和推广，这本书包含了全新的结果出现的第一次。
英文摘要：
The main subject of the book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in differential geometry. The book can be used as a reference manual, review of the existing results and introduction to some new ideas and developments. In the book can be found practically all existing essential results and methods concerning normal frames and coordinates. Most of the results are represented in full detail with full, in some cases new, proofs. All classical results are expanded and generalized in various directions. Theorems of existence, uniqueness and, possibly, holonomicity of the normal frames and coordinates are proved; mostly, the proofs are constructive and some their parts can be used independently for other tasks. Besides published results, their extensions and generalizations, the book contains completely new results which appear for the first time.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
