Spin and complex structures on flat gravitational instantons

2000
10 pages
Published in:
  • Class.Quant.Grav. 17 (2000) 179-188

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Abstract: (IOP)
In this paper, we show that all flat gravitational instantons have a spin structure and most of the flat gravitational instantons have a complex structure. We also prove that a gravitational instanton has an almost-complex structure if and only if its Euler characteristic is divisible by four.
  • gravitation: instanton
  • spin
  • holonomy
  • mathematical methods