Infinitesimal Einstein deformations of nearly Kähler metrics

DOI10.1090/S0002-9947-2011-05064-6zbMath1216.58006arXivmath/0702455OpenAlexW2004436278MaRDI QIDQ3004363

Andrei Moroianu, Uwe Semmelmann

Publication date: 1 June 2011

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

Full work available at URL: https://arxiv.org/abs/math/0702455

zbMATH Keywords

nearly Kähler manifoldsEinstein deformationsGray structures

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Deformations of general structures on manifolds (58H15) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items (14)

Deformations of nearly G2 structures ⋮ Some research perspectives in galloping phenomena: critical conditions and post-critical behavior ⋮ Conformal Killing forms on nearly Kähler manifolds ⋮ Lagrangian submanifolds in the homogeneous nearly Kähler \({\mathbb {S}}^3 \times {\mathbb {S}}^3\) ⋮ Rarita-Schwinger fields on nearly Kähler manifolds ⋮ The Hermitian Laplace operator on nearly Kähler manifolds ⋮ Rarita-Schwinger fields on nearly parallel \(\operatorname{G}_2\)-manifolds ⋮ \(S^6\) and the geometry of nearly Kähler 6-manifolds ⋮ On the six-dimensional sphere with a nearly Kählerian structure ⋮ A shear-shear torsional beam model for nonlinear aeroelastic analysis of tower buildings ⋮ Left-invariant Einstein metrics on \(S^3 \times S^3\) ⋮ On the linear stability of nearly Kähler 6-manifolds ⋮ Generalized vector cross products and Killing forms on negatively curved manifolds ⋮ Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds

Cites Work

• Unnamed Item
• The Hermitian Laplace operator on nearly Kähler manifolds
• Deformations of nearly Kähler structures
• The structure of nearly Kähler manifolds
• Einstein metrics via intrinsic or parallel torsion
• Nearly Kähler geometry and Riemannian foliations.
• Nearly Kähler 6-manifolds with reduced holonomy

This page was built for publication: Infinitesimal Einstein deformations of nearly Kähler metrics