S. E. Stepanov, “The Killing–Yano Tensor”, TMF, 134:3 (2003), 382–387; Theoret. and Math. Phys., 134:3 (2003), 333

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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 382–387
DOI: https://doi.org/10.4213/tmf170 (Mi tmf170)

This article is cited in 23 scientific papers (total in 23 papers)

The Killing–Yano Tensor

S. E. Stepanov

Vladimir State Pedagogical University

Full-text PDF (195 kB) Citations (23)

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DOI: https://doi.org/10.4213/tmf170

Abstract: We obtain a general solution of the equations determining the Killing–Yano tensor of rank

p

$p$ on an

n

$n$ -dimensional

$(1\leqslant p\leqslant n-1)$ pseudo-Riemannian manifold of constant curvature and discuss possible applications of the obtained result.

Keywords: constant curvature manifold, Killing–Yano tensor, Maxwell equations, Dirac equations.

Received: 27.02.2002
Revised: 03.04.2002

English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 333–338
DOI: https://doi.org/10.1023/A:1022645304580

Bibliographic databases:

Language: Russian

Citation: S. E. Stepanov, “The Killing–Yano Tensor”, TMF, 134:3 (2003), 382–387; Theoret. and Math. Phys., 134:3 (2003), 333–338

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf170

https://doi.org/10.4213/tmf170

https://www.mathnet.ru/eng/tmf/v134/i3/p382

This publication is cited in the following 23 articles:

Somberg P., Zima P., “Killing Spinor-Valued Forms and Their Integrability Conditions”, Ann. Glob. Anal. Geom., 58:4 (2020), 351–384
Josef Mikeš et al., Differential Geometry of Special Mappings, 2019
Josef Mikeš et al., Differential Geometry of Special Mappings, 2019
Khavkine I., “The Calabi complex and Killing sheaf cohomology”, J. Geom. Phys., 113 (2017), 131–169
Khavkine I., “Cohomology with Causally Restricted Supports”, Ann. Henri Poincare, 17:12 (2016), 3577–3603
Mikes J. Stepanova E. Vanzurova A., “Differential Geometry of Special Mappings”, Differential Geometry of Special Mappings, Palacky Univ, 2015, 1–566
S. E. Stepanov, I. A. Alexandrova, I. I. Tsyganok, J. Mikeš, “Conformal Killing forms on totally umbilical submanifolds”, Journal of Mathematical Sciences, 217:5 (2016), 525–539
S. E. Stepanov, I. I. Tsyganok, “Comparative Analysis of Spectral Properties of the Hodge–De Rham and Tachibana Operators”, J Math Sci, 207:4 (2015), 614
Stepanov S.E., Jukl M., Mikes J., “On Dimensions of Vector Spaces of Conformal Killing Forms”, Algebra, Geometry and Mathematical Physics (Agmp), Springer Proceedings in Mathematics & Statistics, 85, eds. Makhlouf A., Paal E., Silvestrov S., Stolin A., Springer, 2014, 495–507
Stepanov S.E., Jukl M., Mikes J., “Vanishing Theorems of Conformal Killing Forms and Their Applications To Electrodynamics in the General Relativity Theory”, Int. J. Geom. Methods Mod. Phys., 11:9 (2014), 1450039
Stepanov S.E., Mikes J., “Betti and Tachibana Numbers of Compact Riemannian Manifolds”, Differ. Geom. Appl., 31:4 (2013), 486–495
Stepanov S.E., Mikes J., “Betti and Tachibana Numbers”, Miskolc Math. Notes, 14:2 (2013), 475–486
S. E. Stepanov, I. Mikesh, I. I. Tsyganok, “Operator Tachibany”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2013, no. 4, 82–92
Josef Mikeš, Sergey Stepanov, Marek Jukl, Geometric Methods in Physics, 2013, 377
Santillan O.P., “Hidden Symmetries and Supergravity Solutions”, J. Math. Phys., 53:4 (2012), 043509
Mikes J., Stepanov S., Hinterleitner I., “Projective Mappings and Dimensions of Vector Spaces of Three Types of Killing-Yano Tensors on Pseudo Riemannian Manifolds of Constant Curvature”, XX International Fall Workshop on Geometry and Physics, AIP Conference Proceedings, 1460, eds. Linan M., Barbero F., DeDiego D., Amer Inst Physics, 2012, 202–205
S. E. Stepanov, “Curvature and Tachibana numbers”, Sb. Math., 202:7 (2011), 1059–1069
Acik O., Ertem U., Onder M., Vercin A., “Killing-Yano forms of a class of spherically symmetric space-times: A unified generation of higher forms”, Journal of Mathematical Physics, 51:2 (2010), 022502
S. E. Stepanov, “Curvature and Tachibana numbers”, J. Math. Sci., 172:6 (2011), 901–908
S. E. Stepanov, “Some conformal and projective scalar invariants of Riemannian manifolds”, Math. Notes, 80:6 (2006), 848–852

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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