The \(\mathcal{L}_B\)-cohomology on compact torsion-free \(\mathrm{G}_2\) manifolds and an application to `almost' formality

DOI10.1007/s10455-018-9629-xzbMath1505.53036arXiv1801.06410OpenAlexW3099819028MaRDI QIDQ670325

Spiro Karigiannis, Chi Cheuk Tsang, Ki Fung Chan

Publication date: 18 March 2019

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06410

zbMATH Keywords

cohomologyformality\(\mathrm{G}_2\) manifolds

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

A compact non‐formal closed G₂manifold with b1=1$b_1=1$ ⋮ Almost formality of manifolds of low dimension

Cites Work

• Simply connected K-contact and Sasakian manifolds of dimension 7
• Manifolds with parallel differential forms and Kähler identities for \(G_{2}\)-manifolds
• Riemannian manifolds with structure group \(G_ 2\)
• Calibrated geometries
• Complex geometry. An introduction
• Cohomologies on almost complex manifolds and the \(\partial \overline{\partial} \)-lemma
• The Frölicher-Nijenhuis bracket and the geometry of \(G_2\)-and spin(7)-manifolds
• Deformations of G₂ and Spin(7) Structures
• FLOWS OF G2-STRUCTURES, I
• The rational homotopy type of (n−1)‐connected manifolds of dimension up to 5n−3
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