scientific article; zbMATH DE number 7301890

zbMath1456.53006MaRDI QIDQ5147460

Goncalo Oliveira

Publication date: 26 January 2021

Full work available at URL: https://revistas.rcaap.pt/boletimspm/article/view/21034

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zbMATH Keywords

\(G_2\)-manifoldspecial holonomyCalabi-Yau-manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Calibrations and calibrated geometries (53C38) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Cites Work

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• Riemannian manifolds with structure group \(G_ 2\)
• Calibrated geometries
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• The geometry of three-forms in six dimensions.
• On the construction of some complete metrics with exceptional holonomy
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• Gauge theory and calibrated geometry. I
• Gauge Theory in higher dimensions, II
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes

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