\(J\)-harmonic functions on almost Hermitian manifolds

DOI10.1016/J.DIFGEO.2020.101622zbMath1440.53032OpenAlexW3014051582WikidataQ115354810 ScholiaQ115354810MaRDI QIDQ2176107

Christopher Lin

Publication date: 4 May 2020

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101622

zbMATH Keywords

integrable systemsclosed orbitsalmost Hermitian manifolds\(J\)-harmonic functions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hamilton's equations (70H05) Kähler manifolds (32Q15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (1)

Some observations on conformal symmetries of \(G_2\)-structures

Cites Work

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• On the existence of special metrics in complex geometry
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Some examples of almost Hermitian manifolds
• Some theorems on almost Kählerian spaces
• Normal modes for nonlinear Hamiltonian systems
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Riemannian geometry of contact and symplectic manifolds

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