scientific article; zbMATH DE number 932332
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Publication:4894707
zbMath0858.53036MaRDI QIDQ4894707
Publication date: 10 March 1997
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orthonormal frame bundleSpin(7)-structuresfundamental 4-form8-dimensional Riemannian manifoldsspace of covariant derivatives
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)
Related Items (16)
Supersymmetric geometries of IIA supergravity. I ⋮ Yang-Mills solutions and \(\mathrm{Spin}(7)\)-instantons on cylinders over coset spaces with \(G_2\)-structure ⋮ Geometric structures of vectorial type ⋮ A generalization of the notion of instanton ⋮ Lee form and special warped-like product manifolds with locally conformally parallel \(\mathrm{Spin}(7)\) structure ⋮ Unnamed Item ⋮ Homogeneous 8-manifolds admitting invariant Spin(7)-structures ⋮ Orthogonal almost-complex structures of minimal energy ⋮ Covariantly constant forms on torsionful geometries from world-sheet and spacetime perspectives ⋮ \(SU(3)\)-structures on submanifolds of a Spin(7)-manifold ⋮ Harmonicity of sections of sphere bundles ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Riemannian manifolds with structure group PSU(3) ⋮ Spin (7)-manifolds with parallel torsion form ⋮ \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons ⋮ Bochner formulae for orthogonal \(G\)-structures on compact manifolds.
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