The Hermitian Laplace operator on nearly Kähler manifolds

DOI10.1007/s00220-009-0903-4zbMath1210.58028arXiv0810.0164OpenAlexW1995838752MaRDI QIDQ625445

Andrei Moroianu, Uwe Semmelmann

Publication date: 17 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0164

zbMATH Keywords

flag manifoldKilling vector fieldEinstein manifoldnearly Kählerreductive homogeneous spaceKähler deformationHermitian Laplace operatormoduli space of nearly Kähler deformations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Cites Work

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• Infinitesimal Einstein deformations of nearly Kähler metrics
• Characteristic Classes and Homogeneous Spaces, I
• UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS
• Nearly Kähler 6-manifolds with reduced holonomy

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