Kähler reduction of metrics with holonomy \(G_2\)
From MaRDI portal
Publication:1424141
DOI10.1007/s00220-003-1014-2zbMath1067.53039arXivmath/0303197OpenAlexW1821918867MaRDI QIDQ1424141
S. M. Salamon, Vestislav Apostolov
Publication date: 9 March 2004
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303197
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20) Issues of holonomy in differential geometry (53C29)
Related Items
Conformally parallel \(G_2\) structures on a class of solvmanifolds, M-theory moduli spaces and torsion-free structures, On generalized \(G_2\)-structures and \(T\)-duality, The Ricci tensor of SU(3)-manifolds, Geometric transitions, flops and non-Kähler manifolds. I., \(S^1\)-quotient of \(\mathrm{Spin}(7)\)-structures, Einstein metrics on bundles over Hyperkähler manifolds, Special holonomy manifolds, domain walls, intersecting branes and T-folds, Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center, Half-flat structures on \(S^3\times S^3\), Generalised \(G_2\)-manifolds, Toric \(G_{2}\) and \(\operatorname{spin}(7)\) holonomy spaces from gravitational instantons and other examples, A circle quotient of a \(G_2\) cone, Nilmanifolds with a calibrated \(G_{2}\)-structure, \(G_2\)-structures with torsion from half-integrable nilmanifolds, Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds, Spin(7)-manifolds with three-torus symmetry, Toric geometry of \(\operatorname{G}_2\)-manifolds, Explicit Calabi-Yau metrics in \(D=6\) possessing an isometry group with orbits of codimension one, Calibrations and T-duality, New \(G_2\)-conifolds in \(M\)-theory and their field theory interpretation, Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds, \(S^1\)-invariant Laplacian flow, Multi-moment maps, \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons, Calibrated submanifolds and reductions of \(G_{2}\)-manifolds, Special geometries associated to quaternion-Kähler 8-manifolds
