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A Liouville's theorem for some Monge-Amp\`ere type equations

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arxiv 2203.16661 v2 pith:2YK36TUS submitted 2022-03-30 math.AP

classification math.AP
keywords equationmonge-amptypeclassicalconformaldimensionequationsgeometry
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We study a Monge-Amp\`ere type equation that interpolates the classical {\sigma_2} -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.

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