Results 1 to 10 of about 11,761,264 (219)

Do Killing-Yano tensors form a Lie Algebra? [PDF]

Class.Quant.Grav.24:3759-3768,2007, 2007
Killing-Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing-Yano tensors form a graded Lie algebra with respect to the Schouten-Nijenhuis bracket. We find that this proposition does not hold in general, but that it
David Kastor, Dolan P, Floyd R, Iwashita Y Kastor D Shiromizu T Traschen J, Jennie Traschen, Kashiwada T, Kastor D, Krtous P, Kubiznak D, Nijenhuis A, Nijenhuis A, Schouten J A, Schouten J A, Sourya Ray, Townsend P K, Vaisman I, Wald R M   +16 more
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Killing Forms on Symmetric Spaces [PDF]

Differential Geometry and its Applications 24, 215-222 (2006), 2004
Killing forms on Riemannian manifolds are differential forms whose covariant derivative is totally skew--symmetric. We show that a compact simply connected symmetric space carries a non--parallel Killing $p$--form ($p\ge2$) if and only if it isometric to
Andrei Moroianu, Baum, Florin Belgun, Moroianu, Obata, Semmelmann, Uwe Semmelmann, Yamaguchi   +7 more
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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Vilcu, Gabriel Eduard, Visinescu, Mihai
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Classification of spacetimes according to conformal Killing vectors [PDF]

, 2008
Conformal Killing vectors (CKVs) preserve the spacetime metric up to a factor. Homothetic vectors and Killing vectors are special cases of CKVs. Classification of some classes of spacetimes on the basis of CKVs give interesting results showing how ...
Saifullah, K.
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Fluxes in M-theory on 7-manifolds and G structures [PDF]

, 2003
We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing spinor equations
A. Bilal, A. Fayyazuddin, A. Lukas, B. de Wit, B.S. Acharya, C. Beasley, Claus Jeschek, G. Curio, G. Curio, G.L. Cardoso ., J.P. Gauntlett, J.P. Gauntlett, K. Becker, K. Behrndt, K. Behrndt, K. Behrndt, K. Behrndt, K. Dasgupta, Klaus Behrndt, M. Cvetic, P. Candelas, S. Chiossi, S. Ferrara, S. Gurrieri, S. Kachru, S. Karigiannis, T. Ali, T. Friedrich   +27 more
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Generalized hidden symmetries and the Kerr-Sen black hole [PDF]

, 2010
We elaborate on basic properties of generalized Killing-Yano tensors which naturally extend Killing-Yano symmetry in the presence of skew-symmetric torsion.
Houri, T, Kubizňák, D, Warnick, CM, Yasui, Y   +3 more
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Eigenvalue Estimates of the ${\rm spin}^c$ Dirac Operator and Harmonic Forms on K\"ahler-Einstein Manifolds [PDF]

, 2015
We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact K\"ahler-Einstein manifold of positive scalar curvature and endowed with particular ${\rm spin}^c$ structures.
Nakad, Roger, Pilca, Mihaela
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Uniqueness of M-theory PP-Wave Background with Extra Supersymmetries

, 2003
We examine Killing spinor equations of the general eleven-dimensional pp-wave backgrounds, which contain a scalar H(x^m,x^-) in the metric and a three-form \xi(x^m,x^-) in the flux.
C.M. Hull, D. Berenstein, D. Brecher, E. Lozano-Tellechea, E.G. Gimon, H. Lu, H. Singh, I. Bena, J. Figueroa-O’Farrill, J. Figueroa-O’Farrill, J. Kowalski-Glikman, J. Kowalski-Glikman, J. Michelson, J. Michelson, J.M. Figueroa-O’Farrill, J.P. Gauntlett, J.P. Gauntlett, K. Sugiyama, M. Blau, M. Blau, M. Blau, M. Blau, M. Cvetic, M. Cvetic, M. Hatsuda, M. Hatsuda, M. Sakaguchi, Makoto Sakaguchi, Nobuyoshi Ohta, P. Meessen, P.T. Chrusciel, R. Corrado, R. Gueven, R.R. Metsaev, S.j. Hyun, T. Ortin   +35 more
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Asymptotic symmetries on Killing horizons [PDF]

, 2001
We investigate asymptotic symmetries regularly defined on spherically symmetric Killing horizons in the Einstein theory with or without the cosmological constant.
A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Strominger, A. Strominger, E. Witten, G.W. Gibbons, G.W. Gibbons, H. Bondi, I. Racz, J. Lee, J. Maldacena, J. Maldacena, J.D. Brown, Jun-ichirou Koga, M-I. Park, M. Hotta, N. D. Birrell, O. Aharony, O. Dreyer, R.K. Sachs, R.K. Sachs, R.M. Wald, S. Carlip, S. Carlip, S. Carlip, S. Carlip, S. Hawking, S.A. Hayward, S.A. Hayward, S.A. Hayward, S.N. Solodukhin, S.S. Gubser, S.W. Hawking, V. Iyer, V. Iyer   +38 more
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Spinorial geometry and Killing spinor equations of 6-D supergravity

, 2011
We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot Sp(1)\ltimes ...
Cariglia M, Chamseddine A Figueroa-O’Farrill J M Sabra W, Figueroa-O’Farrill J M, Figueroa-O’Farrill J M, G Papadopoulos, Gauntlett J P, Gillard J, Gran U, Gran U, Gran U, Gran U, Gueven R, Gutowski J B, Howe P S Papadopoulos G Stojevic V, Jong D C, M Akyol, Medina A, Papadopoulos G, Papadopoulos G   +18 more
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