Topology Analysis of Vector Fields and Application Prospect

Author(s):  
Li Chao ◽  
Wu Lingda ◽  
Yang Jia ◽  
Zhao Bin
2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA

2020 ◽  
Vol 23 (5) ◽  
pp. 863-889
Author(s):  
Min-Young Lee ◽  
Jisung Yoon ◽  
Yongrae Cho ◽  
Woo-Sung Jung

Author(s):  
Michael Kachelriess

This chapter introduces tensor fields, covariant derivatives and the geodesic equation on a (pseudo-) Riemannian manifold. It discusses how symmetries of a general space-time can be found from the Killing equation, and how the existence of Killing vector fields is connected to global conservation laws.


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