Laplacian solitons and symmetry in \(G_2\)-geometry

DOI10.1016/j.geomphys.2012.11.006zbMath1259.53066arXiv1201.2627OpenAlexW2041796983WikidataQ126217309 ScholiaQ126217309MaRDI QIDQ1938610

Christopher Lin

Publication date: 21 February 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2627

zbMATH Keywords

solitonmoduligeometric flowspecial holonomy

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Issues of holonomy in differential geometry (53C29)

Related Items (14)

The Search for Solitons on Homogeneous Spaces ⋮ Locally conformal calibrated \(G_2\)-manifolds ⋮ Laplacian solitons: questions and homogeneous examples ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ Remarks on exact \(G_2\)-structures on compact manifolds ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures ⋮ Distinguished $$G_2$$-Structures on Solvmanifolds ⋮ Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures ⋮ Local curvature estimates for the Laplacian flow ⋮ Torsion-free G2-structures with identical Riemannian metric ⋮ Laplacian flow for closed \(\mathrm{G}_{2}\) structures: Shi-type estimates, uniqueness and compactness ⋮ A class of eternal solutions to the G\(_2\)-Laplacian flow ⋮ Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow

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