Deformations of transverse Calabi-Yau structures on foliated manifolds

DOI10.2977/PRIMS/11zbMath1201.58016OpenAlexW2056800084MaRDI QIDQ983316

Takayuki Moriyama

Publication date: 22 July 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=46&iss=2&rank=4

zbMATH Keywords

foliationdeformation theorytransverse Calabi-Yau structure

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Foliations (differential geometric aspects) (53C12)

Related Items (3)

The moduli space of transverse Calabi-Yau structures on foliated manifolds ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ Some remarks on Calabi-Yau and hyper-Kähler foliations

Cites Work

• Calibrated geometries
• Deformation theory for holomorphic foliations
• Transversal holomorphic structures
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Deformations of calibrated submanifolds
• On deformations of complex analytic structures. II
• On deformations of transversely holomorphic foliations.
• MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G₂ and SPIN(7) STRUCTURES
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