lorentz manifolds
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2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Zhiqi Chen ◽  
Joseph A. Wolf ◽  
Shaoxiang Zhang
Keyword(s):  




2020 ◽  
Vol 75 (1) ◽  
Author(s):  
Rosa Maria dos Santos Barreiro Chaves ◽  
Euripedes Carvalho da Silva


2019 ◽  
Vol 294 (3-4) ◽  
pp. 1227-1269
Author(s):  
Bianca Barucchieri
Keyword(s):  


2018 ◽  
Vol 103 (117) ◽  
pp. 103-112
Author(s):  
Bahar Kırık

We study recurrence properties of the second order skew-sym- metric tensor fields, which are referred to as bivectors, on a 4-dimensional manifold admitting a Lorentz metric. Considering the known classification scheme for these tensor fields, recurrent bivectors which can be scaled to be parallel are first determined and these results are associated with the holonomy theory. This examination then identifies proper recurrence of such bivectors on the manifold. The link between these bivectors and the holonomy group is investigated and some theorems are proved.





2016 ◽  
Vol 33 (5) ◽  
pp. 055003 ◽  
Author(s):  
José A S Pelegrín ◽  
Alfonso Romero ◽  
Rafael M Rubio


2013 ◽  
Vol 34 (5) ◽  
pp. 1640-1673 ◽  
Author(s):  
PAOLO PICCIONE ◽  
ABDELGHANI ZEGHIB

AbstractWe study the geometry of compact Lorentzian manifolds that admit a somewhere timelike Killing vector field, and whose isometry group has infinitely many connected components. Up to a finite cover, such manifolds are products (or amalgamated products) of a flat Lorentzian torus and a compact Riemannian (respectively, lightlike) manifold.



Author(s):  
Leandro A. Lichtenfelz ◽  
Paolo Piccione ◽  
Abdelghani Zeghib


2011 ◽  
Vol 61 (2) ◽  
pp. 381-399 ◽  
Author(s):  
Graham S. Hall ◽  
David P. Lonie


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