Harmonic \(\text{Sp}(2)\)-invariant \(\text{G}_2\)-structures on the 7-sphere

DOI10.1007/s12220-022-00953-9zbMath1506.53033arXiv2103.11552OpenAlexW4285800724WikidataQ114221012 ScholiaQ114221012MaRDI QIDQ2157488

Eric Loubeau, Andrés J. Moreno, Julieth Saavedra, Henrique N. Sá Earp

Publication date: 22 July 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11552

zbMATH Keywords

energy functionalhomogeneous spacegeometric flowsecond variation of energy\(\text{G}_2\)-structuresharmonic \(\text{G}_2\) structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) (G)-structures (53C10)

Related Items (4)

Flows of \(G_2\)-structures on contact Calabi-Yau 7-manifolds ⋮ Harmonic flow of geometric structures ⋮ Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups ⋮ New examples of \(\mathrm{G}_2\)-structures with divergence-free torsion

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