SU(3)-structures on hypersurfaces of manifolds with \(G_2\)-structure

DOI10.1007/s00605-005-0343-yzbMath1127.53022arXivmath/0410610OpenAlexW2169403857MaRDI QIDQ996073

Francisco Martín Cabrera

Publication date: 11 September 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410610

zbMATH Keywords

second fundamental formCayley numbersintrinsic \(G_2\)-torsionintrinsic SU(3)-torsion

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items

An integral formula for \(G_2\)-structures, Internal circle uplifts, transversality and stratified G-structures, Compact solvmanifolds with calibrated and cocalibrated \(\mathrm{G}_2\)-structures, Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds, Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry, Homogeneous symplectic half-flat 6-manifolds, Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds, The shear construction, \(SU(3)\)-structures on submanifolds of a Spin(7)-manifold, Lifting \(SU(3)\)-structures to nearly parallel \(G_2\)-structures, Special types of locally conformal closed \(G_2\)-structures, GENERALIZED G₂-MANIFOLDS AND SU(3)-STRUCTURES, Half-flat structures inducing Einstein metrics on homogeneous spaces

Cites Work

• Unnamed Item
• Riemannian manifolds with structure group \(G_ 2\)
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Orientable hypersurfaces of Riemannian manifolds with Spin (7) structure
• Almost-Hermitian geometry
• Einstein metrics via intrinsic or parallel torsion
• \(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure
• Special almost Hermitian geometry