Deformation theory of nearly Kähler manifolds

DOI10.1112/jlms.12033zbMath1376.53067arXiv1601.04400OpenAlexW2523364483MaRDI QIDQ5357276

Lorenzo Foscolo

Publication date: 14 September 2017

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04400

zbMATH Keywords

Killing spinorsnearly KählerDirac-type operatorinfinitesimal deformationsreal Killing spinoroctonionic almost complex structurevery rigid

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Deformations of general structures on manifolds (58H15) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) (G)-structures (53C10)

Related Items (13)

Deformations of nearly G2 structures ⋮ Gauge theory on Aloff-Wallach spaces ⋮ Toric nearly Kähler manifolds ⋮ Rarita-Schwinger fields on nearly Kähler manifolds ⋮ Topology of asymptotically conical Calabi-Yau and \(G_2\) manifolds and desingularization of nearly Kähler and nearly \(G_2\) conifolds ⋮ The \(\mathrm{G}_2\) geometry of 3-Sasaki structures ⋮ Rate of asymptotic convergence near an isolated singularity of \(\mathrm{G}_2\) manifold ⋮ The DT-instanton equation on almost Hermitian 6-manifolds ⋮ Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds ⋮ On the linear stability of nearly Kähler 6-manifolds ⋮ Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds ⋮ Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds ⋮ Linear instability of Sasaki Einstein and nearly parallel G2 manifolds

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