Titlebook: Lectures and Surveys on G2-Manifolds and Related Topics; Spiro Karigiannis,Naichung Conan Leung,Jason D. Lo Book 2020 Springer Science+Bus

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Constructions of Compact ,-Holonomy Manifoldssolutions of singularities of appropriately chosen 7-dimensional orbifolds, with the help of asymptotically locally Euclidean spaces. Another method uses the gluing of two asymptotically cylindrical pieces and requires a certain matching condition for their cross-sections ‘a(chǎn)t infinity’.

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Fr?licher–Nijenhuis Bracket on Manifolds with Special Holonomybles us to define the Fr?licher–Nijenhuis cohomologies which are analogues of the . and the Dolbeault cohomologies in K?hler geometry, and assigns an .-algebra to each associative submanifold. We provide several concrete computations of the Fr?licher–Nijenhuis cohomology.

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Deformations of Calibrated Submanifolds with Boundaryalibrated submanifolds are assumed compact with a non-empty boundary which is constrained to move in a particular fixed submanifold. The results extend McLean’s deformation theory previously developed for closed compact submanifolds.

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Lectures and Surveys on G2-Manifolds and Related Topics978-1-0716-0577-6Series ISSN 1069-5265 Series E-ISSN 2194-1564

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