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Toric nearly Kähler manifolds

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Abstract

We show that 6-dimensional strict nearly Kähler manifolds admitting effective \({\mathbb {T}}^3\) actions by automorphisms are completely characterized in the neigborhood of each point by a function on \({\mathbb {R}}^3\) satisfying a certain Monge–Ampère-type equation.

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Authors and Affiliations

  1. Laboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405, Orsay, France

    Andrei Moroianu

  2. Department of Mathematics, The University of Murcia, Campus de Espinardo, 30100, Espinardo, Murcia, Spain

    Paul-Andi Nagy

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  1. Andrei Moroianu
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  2. Paul-Andi Nagy
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Correspondence to Andrei Moroianu.

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Moroianu, A., Nagy, PA. Toric nearly Kähler manifolds. Ann Glob Anal Geom 55, 703–717 (2019). https://doi.org/10.1007/s10455-019-09648-x

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  • DOI: https://doi.org/10.1007/s10455-019-09648-x

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