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In this contribution we have collected some facts about Killing and Killing-Yano tensors that we feel are of general interest for researchers working on problems that rely on differential geometry.
1912
Earlier work this paper cites.
B. Carter, “Global Structure of the Kerr Family of Gravitational Fields,"
1968
Earlier work this paper cites.
T. Kashiwada, “On conformal Killing tensor,”
1968
Earlier work this paper cites.
S. Tachibana and T. Kashiwada, “On the integrability of Killing-Yano’s equation,”
1969
Earlier work this paper cites.
S. Tachibana, “On conformal Killing tensor in a Riemannian space”,
1969
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.
L. F. Abbott and S. Deser, “Stability of Gravity with a Cosmological Constant,”
1982
Earlier work this paper cites.
R. Penrose and W. Rindler,
1986
Earlier work this paper cites.
P. S. Howe, S. Penati, M. Pernici and P. K. Townsend, “Wave Equations for Arbitrary Spin From Quantization of the Extended Supersymmetric Spinning Particle,”
1988
Earlier work this paper cites.
U. Lindström, B. Sundborg and G. Theodoridis, “The zero tension limit of the spinning string,”
1991
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.
J. W. van Holten and R. H. Rietdijk, “Symmetries and motions in manifolds,”
1993
Earlier work this paper cites.
F. De Jonghe, K. Peeters and K. Sfetsos, “Killing-Yano supersymmetry in string theory,”
1997
Cited alongside, same era.
J. Kress, “Generalised Conformal Killing-Yano Tensors: Applications to Electrodynamics,”
1997
Cited alongside, same era.
S. Deser and B. Tekin, “Energy in topologically massive gravity,”
2003
Cited alongside, same era.
D. Kastor and J. Traschen, “Conserved gravitational charges from Yano tensors,”
2004
Cited alongside, same era.
M. G. Eastwood, “Higher symmetries of the Laplacian,”
2005
Cited alongside, same era.
S. Ölmez, Ö. Sarıoğlu, and B. Tekin, “Mass and angular momentum of asymptotically ads or flat solutions in the topologically massive gravity,”
2005
Cited alongside, same era.
S. M. Kuzenko, U. Lindström, E. S. N. Raptakis and G. Tartaglino-Mazzucchelli, “Symmetries of
2012
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2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
M. Cariglia, “Hidden Symmetries of the Dirac Equation in Curved Space-Time,”
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2008
Cited alongside, same era.
G. Papadopoulos, “Killing-Yano equations and G-structures,”
2008
Cited alongside, same era.
U. Lindström and M. Roček, “Properties of hyperkähler manifolds and their twistor spaces,”
2010
Cited alongside, same era.
2010
Cited alongside, same era.
O. P. Santillan, “Hidden symmetries and supergravity solutions,”
2012
Cited alongside, same era.
G. Papadopoulos, “Killing-Yano equations with torsion, worldline actions and G-structures,”
2012
Cited alongside, same era.
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.
V. Frolov, P. Krtous and D. Kubiznak, “Black holes, hidden symmetries, and complete integrability,”
2017
Later among the works it cites.
P. S. Howe and U. Lindström, “Super-Laplacians and their symmetries,”
2017
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.
U. Lindström and Ö. Sarıoğlu, “New currents with Killing-Yano tensors,”
2021
Later among the works it cites.