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gr-qcOct 24, 2000
11
citations (OpenAlex)
authors
  • J. Frauendiener
  • L. B. Szabados
institutions
  • Institute for Particle and Nuclear Physics
  • Max Planck Institute for Mathematics in the Sciences
arXiv abstractPDF
paper

The kernel of the edth operators on higher-genus spacelike two-surfaces

arXiv:gr-qc/0010089 · doi:10.1088/0264-9381/18/6/303

Abstract

The dimension of the kernels of the edth and edth-prime operators on closed, orientable spacelike 2-surfaces with arbitrary genus is calculated, and some of its mathematical and physical consequences are discussed.

12 pages

References in corpus (5)

  • A Scheme to Numerically Evolve Data for the Conformal Einstein Equation
  • Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk
  • Exact relativistic treatment of stationary counter-rotating dust disks III. Physical Properties
  • Bounded Area Theorems for Higher Genus Black Holes
  • Gravitational fields of rotating disks and black holes

Cited by in corpus (5)

  • On certain quasi-local spin-angular momentum expressions for large spheres near the null infinity
  • Total angular momentum from Dirac eigenspinors
  • The 'most classical' states of Euclidean invariant elementary quantum mechanical systems
  • An odd feature of the `most classical' states of SU(2) invariant quantum mechanical systems
  • On some global problems in the tetrad approach to quasi-local quantities
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