Aarhus University Seal / Aarhus Universitets segl

Nearly Kähler six-manifolds with two-torus symmetry

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

We consider nearly Kähler six-manifolds with effective 2-torus symmetry. The multi-moment map for the $T^2$-action becomes an eigenfunction of the Laplace operator. At regular values, we prove the $T^2$-action is necessarily free on the level sets and determines the geometry of three-dimensional quotients. An inverse construction is given locally producing nearly Kähler six-manifolds from three-dimensional data. This is illustrated for structures on the Heisenberg group.
Original languageEnglish
JournalJournal of Geometry and Physics
Volume138
IssueApril
Pages (from-to)144-153
Number of pages10
ISSN0393-0440
DOIs
Publication statusPublished - 2019

    Research areas

  • Nearly Kähler, Multi-moment map, Toric manifold

See relations at Aarhus University Citationformats

Projects

ID: 142408495