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Nearly Kähler six-manifolds with two-torus symmetry

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Nearly Kähler six-manifolds with two-torus symmetry. / Russo, Giovanni; Swann, Andrew Francis.
I: Journal of Geometry and Physics, Bind 138, Nr. April, 2019, s. 144-153.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Harvard

Russo, G & Swann, AF 2019, 'Nearly Kähler six-manifolds with two-torus symmetry', Journal of Geometry and Physics, bind 138, nr. April, s. 144-153. https://doi.org/10.1016/j.geomphys.2018.12.016

APA

Russo, G., & Swann, A. F. (2019). Nearly Kähler six-manifolds with two-torus symmetry. Journal of Geometry and Physics, 138(April), 144-153. https://doi.org/10.1016/j.geomphys.2018.12.016

CBE

Russo G, Swann AF. 2019. Nearly Kähler six-manifolds with two-torus symmetry. Journal of Geometry and Physics. 138(April):144-153. https://doi.org/10.1016/j.geomphys.2018.12.016

MLA

Russo, Giovanni og Andrew Francis Swann. "Nearly Kähler six-manifolds with two-torus symmetry". Journal of Geometry and Physics. 2019, 138(April). 144-153. https://doi.org/10.1016/j.geomphys.2018.12.016

Vancouver

Russo G, Swann AF. Nearly Kähler six-manifolds with two-torus symmetry. Journal of Geometry and Physics. 2019;138(April):144-153. doi: 10.1016/j.geomphys.2018.12.016

Author

Russo, Giovanni ; Swann, Andrew Francis. / Nearly Kähler six-manifolds with two-torus symmetry. I: Journal of Geometry and Physics. 2019 ; Bind 138, Nr. April. s. 144-153.

Bibtex

@article{b0e464c97387452aa4d11ea5afa68cd7,
title = "Nearly K{\"a}hler six-manifolds with two-torus symmetry",
abstract = "We consider nearly K{\"a}hler 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 K{\"a}hler six-manifolds from three-dimensional data. This is illustrated for structures on the Heisenberg group.",
keywords = "Nearly K{\"a}hler, Multi-moment map, Toric manifold",
author = "Giovanni Russo and Swann, {Andrew Francis}",
year = "2019",
doi = "10.1016/j.geomphys.2018.12.016",
language = "English",
volume = "138",
pages = "144--153",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier BV * North-Holland",
number = "April",

}

RIS

TY - JOUR

T1 - Nearly Kähler six-manifolds with two-torus symmetry

AU - Russo, Giovanni

AU - Swann, Andrew Francis

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Nearly Kähler

KW - Multi-moment map

KW - Toric manifold

U2 - 10.1016/j.geomphys.2018.12.016

DO - 10.1016/j.geomphys.2018.12.016

M3 - Journal article

VL - 138

SP - 144

EP - 153

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - April

ER -