C^0 estimates for Hessian quotient equations on HKT manifolds

Li Chen

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C⁰ estimates for Hessian quotient equations on HKT manifolds

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arxiv 2204.03813 v1 pith:EFT6TTKN submitted 2022-04-08 math.DG math.AP

C⁰ estimates for Hessian quotient equations on HKT manifolds

Li Chen This is my paper

classification math.DG math.AP

keywords equationshessianmanifoldsquotientadditionalahlerassumptionclever

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We show the $C^0$ 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.

C⁰ estimates for Hessian quotient equations on HKT manifolds

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