A family of compact solvable \(G_ 2\)-calibrated manifolds
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Publication:1086853
DOI10.2748/tmj/1178228331zbMath0609.53011OpenAlexW2004356212MaRDI QIDQ1086853
Publication date: 1987
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178228331
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)
Related Items (14)
Recent Results on Closed G 2-Structures ⋮ A compact \(\mathrm G_2\)-calibrated manifold with first Betti number \(b_1 = 1\) ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ A compact non‐formal closed G2manifold with b1=1$b_1=1$ ⋮ Exact \(\mathrm{G}_2\)-structures on compact quotients of Lie groups ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures ⋮ Curvature decomposition of \(G_2\)-manifolds ⋮ Remarks on Hamiltonian structures in G2-geometry ⋮ Einstein locally conformal calibrated \(G_2\)-structures ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Exact \(G_2 \)-structures on unimodular Lie algebras ⋮ Closed \({\mathrm{G}}_2\)-structures on non-solvable Lie groups ⋮ Unnamed Item
Cites Work
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- Riemannian manifolds with structure group \(G_ 2\)
- Calibrated geometries
- An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
- Complex parallelisable manifolds and their small deformations
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- Vector Cross Products on Manifolds
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