On the Bergman Theory for Solenoidal and Irrotational Vector Fields. II. Conformal Covariance and Invariance of the Main Objects

2009 ◽  
Vol 5 (1) ◽  
pp. 237-251 ◽  
Author(s):  
J. Oscar González-Cervantes ◽  
M. E. Luna-Elizarrarás ◽  
M. Shapiro
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.


2018 ◽  
Vol 75 (2) ◽  
pp. 121-157 ◽  
Author(s):  
Olivier Kneuss ◽  
Wladimir Neves

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