<p>Our recent work about fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric is hereby extended to the parabolic setting. This approach will help us to study some problems arising from hyperhermitian geometry.</p>

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Fully non-linear parabolic equations on compact manifolds with a flat hyperkähler metric

  • Giovanni Gentili,
  • Jiaogen Zhang

摘要

Our recent work about fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric is hereby extended to the parabolic setting. This approach will help us to study some problems arising from hyperhermitian geometry.