Laplacian solitons on nilpotent Lie groups

zbMath1393.37088arXiv1608.08599MaRDI QIDQ1656292

Marina Nicolini

Publication date: 10 August 2018

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08599

zbMATH Keywords

Lie algebraLaplacian soliton

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (12)

The Search for Solitons on Homogeneous Spaces ⋮ Laplacian solitons: questions and homogeneous examples ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ On homogeneous closed gradient Laplacian solitons ⋮ 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 ⋮ On G$$_{\mathbf 2}$$-Structures, Special Metrics and Related Flows ⋮ Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures ⋮ The Laplacian coflow on almost-abelian Lie groups ⋮ On the existence of homogeneous solitons of gradient type for the \(\mathrm{G}_2\)-Laplacian flow ⋮ Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow

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