A parabolic approach to the Calabi-Yau problem in HKT geometry

DOI10.1007/s00209-022-03072-xzbMath1506.53060arXiv2105.04925OpenAlexW4287183051WikidataQ114231059 ScholiaQ114231059MaRDI QIDQ2172497

Giovanni Gentili, Luigi Vezzoni, Lucio Bedulli

Publication date: 15 September 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04925

zbMATH Keywords

parabolic Monge-Ampère equationhyper-Kähler with torsionquaternionic plurisubharmonic functionshyper-Hermitian manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Pluriharmonic and plurisubharmonic functions (31C10) Complex Monge-Ampère operators (32W20) Monge-Ampère equations (35J96) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (3)

A remark on the quaternionic Monge-Ampère equation on foliated manifolds ⋮ A \(C^0\) \textit{a priori} estimate for the quaternionic Monge-Ampère equation in almost hyperhermitian geometry ⋮ On the Alesker-Verbitsky conjecture on hyperKähler manifolds

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