Complex and Calibrated Geometry

DOI10.1007/978-1-0716-0577-6_15zbMath1447.53006OpenAlexW3030569379MaRDI QIDQ5119728

Kim Moore

Publication date: 1 September 2020

Published in: Lectures and Surveys on G2-Manifolds and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-0716-0577-6_15

zbMATH Keywords

compact complex surfacesCayley operatorCayley deformationscompact Cayley submanifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Calibrations and calibrated geometries (53C38) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) (G)-structures (53C10)

Cites Work

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• Calibrated geometries
• Deformations of calibrated submanifolds
• Deformations of homogeneous associative submanifolds in nearly parallel \(G_2\)-manifolds
• Introduction to differentiable manifolds.
• Complex geometry. An introduction
• Deformations of conically singular Cayley submanifolds
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Associative submanifolds of the 7-sphere
• Cayley deformations of compact complex surfaces

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