The Geometry of Almost Einstein ( 2 , 3 , 5 ) Distributions

  title={The Geometry of Almost Einstein ( 2 , 3 , 5 ) Distributions},
  author={Katja SAGERSCHNIG and Travis WILLSE},
  • Published 2017
We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski’s construction by (oriented) (2, 3, 5) distributions. We characterize in two ways such conformal structures that admit an almost Einstein scale: First, they are precisely the oriented conformal structures c that are induced by at least two distinct oriented (2, 3, 5) distributions; in this case there is a 1-parameter family of such distributions… CONTINUE READING

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