scholarly journals Algebraic solutions of plane vector fields

2009 ◽  
Vol 213 (1) ◽  
pp. 144-153 ◽  
Author(s):  
S.C. Coutinho ◽  
L. Menasché Schechter
2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA

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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