arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/0609079math.DGmath-phmath.MP
收藏

无限喷流中的域:C-谱序列

Domains in Infinite Jets: C-Spectral Sequence

A. M. Vinogradov, G. Moreno

摘要:

无限喷注中的区域是一类最简单的有边界微分。在这份说明中,这些域的几何形状的一些基本元素的介绍和模拟的C-谱序列在这方面进行了研究。这,特别是允许cohomological解释和分析的初始数据,边界条件等,一般偏微分方程和transversality条件的变分法。这类应用和推广到任意差分将在以后的出版物中考虑。

英文摘要:

Domains in infinite jets present the simplest class of diffieties with boundary. In this note some basic elements of geometry of these domains are introduced and an analogue of the C-spectral sequence in this context is studied. This, in particular, allows cohomological interpretation and analysis of initial data, boundary conditions, etc, for general partial differential equations and of transversality conditions in calculus of variations. This kind applications and extensions to arbitrary diffieties will be considered in subsequent publications.

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。

↑