On the Alesker-Verbitsky conjecture on hyperKähler manifolds

DOI10.1007/s00039-023-00648-5zbMath1522.35529arXiv2105.09344OpenAlexW4381436656WikidataQ122877594 ScholiaQ122877594MaRDI QIDQ6173550

Marcin Sroka, Sławomir Dinew

Publication date: 21 July 2023

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09344

zbMATH Keywords

hyper-Kähler metricsquaternionic Monge-Ampère equationHKT metricshyper-Hermitian manifoldsCalabi-Yau-type theorem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Other partial differential equations of complex analysis in several variables (32W50) PDEs on manifolds (35R01)

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A \(C^0\) \textit{a priori} estimate for the quaternionic Monge-Ampère equation in almost hyperhermitian geometry

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