Property of Tensor Satisfying Binary Law

• 作者: Koji Ichidayama
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: TENSOR COVARIANT DERIVATIVE
• 年，卷（期）: 2017,（6）
• 页码范围: 944-963
• 页数: 20页
• 分类号: O1

摘要

I report the reason why Tensor satisfying Binary Law has relations toward physics in this article. Q: The n th-order covariant derivative of the Vector {Aμ, Aμ}:(n=1) satisfying Binary Law. R: The n th-order covariant derivative of the Vector {Aμ, Aμ}:(n≥2) satisfying Binary Law. I have reported in other articles about Q. I report R in this article. I obtained the following results in this. I got the conclusion that derived function became 0. The derived function becoming 0 in the n th-order covariant derivative of the covariant vector Aμhere in the case of n=2. Similarly, in the n th-order covariant derivative of the contravariant vector Aμin the case of n=4 .