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gr-qcDec 30, 2006
6
citations (OpenAlex)
authors
  • Florian Catalin Popa
  • Ovidiu Tintareanu-Mircea
institutions
  • Institute of Space Science - INFLPR Subsidiary
arXiv abstractPDF
paper

Schouten-Nijenhuis bracket of Killing-Yano tensors for Kimura IIC metric

arXiv:gr-qc/0701005 · doi:10.1140/epjc/s10052-026-16263-1

Abstract

We investigate Schouten-Nijenhuis brackets of Killing-Yano tensors for Kimura IIC metric showing that Killing-Yano tensors form a Lie algebra.

arXiv comment9 pages, v2

References in corpus (10)

  • SUSY in the sky
  • Supersymmetry and the Geometry of Taub-NUT
  • On the existence of the second Dirac operator in Riemannian space
  • Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime
  • The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
  • Killing tensors and a new geometric duality
  • Spinning particles in Taub-NUT space
  • Dynamical algebra and Dirac quantum modes in Taub-NUT background
  • Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes
  • Dual Metrics for a Class of Radiative Spacetimes

Cited by in corpus (2)

  • Slice-reducible conformal Killing tensors, photon surfaces and shadows
  • Killing-Yano Tensors of Order n-1
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