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C^0 estimates for Hessian quotient equations on HKT manifolds

Differential Geometry 2022-04-11 v1 Analysis of PDEs

Abstract

We show the C0C^0 estimate for solutions to Hessian quotient equations on hyperK\"ahler with torsion manifolds without any additional assumption on its hypercomplex structure by a clever use of the cone condition directly.

Keywords

Cite

@article{arxiv.2204.03813,
  title  = {C^0 estimates for Hessian quotient equations on HKT manifolds},
  author = {Li Chen},
  journal= {arXiv preprint arXiv:2204.03813},
  year   = {2022}
}

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20 pages