Reply to “Comment on ‘Emergence of the Cotton tensor for describing gravity”’

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Junpei Harada
Keyword(s):  
Cotton Tensor

Cotton tensor, Bach tensor and Kenmotsu manifolds

2020 ◽  
Vol 31 (7-8) ◽  
pp. 1193-1205
Author(s):  
Amalendu Ghosh
Keyword(s):  
Bach Tensor ◽  
Kenmotsu Manifolds ◽  
Cotton Tensor

Some remarks on Riemannian manifolds with parallel Cotton tensor

2019 ◽  
Vol 42 (1) ◽  
pp. 64-74 ◽  
Author(s):  
Hai-Ping Fu ◽  
Gao-Bo Xu ◽  
Yong-Qian Tao
Keyword(s):  
Riemannian Manifolds ◽  
Cotton Tensor

scholarly journals The Cotton tensor in Riemannian spacetimes

2004 ◽  
Vol 21 (4) ◽  
pp. 1099-1118 ◽  
Author(s):  
Alberto A García ◽  
Friedrich W Hehl ◽  
Christian Heinicke ◽  
Alfredo Macías
Keyword(s):  
Cotton Tensor

Three-dimensional manifolds with special Cotton tensor

2014 ◽  
Vol 12 (01) ◽  
pp. 1550005
Author(s):  
E. Calviño-Louzao ◽  
E. García-Río ◽  
J. Seoane-Bascoy ◽  
R. Vázquez-Lorenzo
Keyword(s):  
Three Dimensional ◽  
Conformally Flat ◽  
Killing Tensor ◽  
Locally Conformally Flat ◽  
Cotton Tensor

The Cotton tensor of three-dimensional Walker manifolds is investigated. A complete description of all locally conformally flat Walker three-manifolds is given, as well as that of Walker manifolds whose Cotton tensor is either a Codazzi or a Killing tensor.

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