A Hamiltonian approach to the cohomogeneity one Ricci soliton equations and explicit examples of non-Kähler solitons

A Hamiltonian approach to the cohomogeneity one Ricci soliton equations and explicit examples of non-Kähler solitons

We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials and use this to find some explicit formulae for Ricci solitons not of Kähler type in five dimensions.

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Veröffentlicht in:Journal of mathematical physics 2016-12, Vol.57 (12)
Hauptverfasser: Betancourt de la Parra, Alejandro, Dancer, Andrew S., Wang, McKenzie Y.
Format: Artikel
Sprache:eng
Schlagworte:
Hamiltonian functions
Mathematical analysis
Physics
Solitary waves
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Beschreibung
Zusammenfassung:We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials and use this to find some explicit formulae for Ricci solitons not of Kähler type in five dimensions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4972216