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New relations involving the Riemann, Ricci and Einstein tensors that have to hold for a given geometry to admit Killing-Yano tensors are described.
H. Weyl, “Reine Infinitesimalgeometrie,”
1918
Earlier work this paper cites.
J. A. Schouten, “Über die konforme Abbildung
1921
Earlier work this paper cites.
B. Carter, “Global Structure of the Kerr Family of Gravitational Fields,”
1968
Earlier work this paper cites.
M. Walker and R. Penrose, “On quadratic first integrals of the geodesic equations for type [22] spacetimes,”
1970
Earlier work this paper cites.
C. D. Collinson, “The existence of Killing tensors in empty space-times,” Tensor (N.S.)
1974
Earlier work this paper cites.
C. D. Collinson, “On the relationship between Killing tensors and Killing-Yano tensors,”
1976
Earlier work this paper cites.
H. Stephani, “A note on Killing tensors,”
1978
Earlier work this paper cites.
L. F. Abbott and S. Deser, “Stability of Gravity with a Cosmological Constant,”
1982
Earlier work this paper cites.
G. W. Gibbons, R. H. Rietdijk and J. W. van Holten, “Susy in the sky,”
1993
Earlier work this paper cites.
F. De Jonghe, K. Peeters and K. Sfetsos, “Killing-Yano supersymmetry in string theory,”
1997
Earlier work this paper cites.
Ng. Ibohal, “On the relationship between Killing-Yano tensors and electromagnetic fields in curved spaces,”
1997
Cited alongside, same era.
D. Kastor and J. Traschen, “Conserved gravitational charges from Yano tensors,”
2004
Cited alongside, same era.
H. Cebeci, Ö. Sarıoğlu and B. Tekin, “Gravitational charges of transverse asymptotically AdS spacetimes,”
2006
Cited alongside, same era.
D. Kastor, S. Ray and J. Traschen, “Do Killing-Yano tensors form a Lie Algebra?,”
2007
Cited alongside, same era.
G. Papadopoulos, “Killing-Yano equations and G-structures,”
2008
Cited alongside, same era.
S. M. Kuzenko, U. Lindström, E. S. N. Raptakis and G. Tartaglino-Mazzucchelli, “Symmetries of
2012
Later among the works it cites.
Ç. Menekay, “Killing family of tensors in classical gravitational theories,” Middle East Technical University,
2013
Later among the works it cites.
D. Hansen, “Killing-Yano Tensors,” Niels Bohr Institute,
2014
Later among the works it cites.
2014
Later among the works it cites.
M. Cariglia, “Hidden Symmetries of the Dirac Equation in Curved Space-Time,”
2014
Later among the works it cites.
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2008
Cited alongside, same era.
Ö. Acik, U. Ertem, M. Önder and A. Vercin, “Basic Gravitational Currents and Killing-Yano Forms,”
2010
Cited alongside, same era.
G. Papadopoulos, “Killing-Yano equations with torsion, worldline actions and G-structures,”
2012
Cited alongside, same era.
O. Lunin and J. Tian, “Separation of variables in the WZW models,”
2012
Cited alongside, same era.
O. P. Santillan, “Hidden symmetries and supergravity solutions,”
2012
Cited alongside, same era.
C. Batista, “Killing-Yano Tensors of Order
2014
Later among the works it cites.
Y. Chervonyi and O. Lunin, “Killing(-Yano) Tensors in String Theory,”
2015
Later among the works it cites.
C. Batista, “Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors,”
2015
Later among the works it cites.
J. Martínez i Portillo, “Classification of Weyl and Ricci Tensors,” Universitat Politècnica de Catalunya,
2016
Later among the works it cites.
P. S. Howe and U. Lindström, “Some remarks on (super)-conformal Killing-Yano tensors,”
2018
Later among the works it cites.