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arXiv · 2404.13253

Reduction of coKähler and 3-cosymplectic manifolds

Shuhei Yonehara
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Abstract

The notions of coKähler manifolds and 3-cosymplectic manifolds are odd-dimensional analogues of the ones of Kähler manifolds and hyperKähler manifolds, respectively. In this paper, we obtain reduction theorems of coKähler manifolds and 3-cosymplectic manifolds. We show that Kähler and coKähler (hyperKähler and 3-cosymplectic) reductions admit a natural compatibility with respect to ``cylinder constructions". We further prove the compatibility of Kähler and coKähler reductions with respect to the "mapping torus construction".

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BibTeXRIS

Shuhei Yonehara. 2024-10-08. Reduction of coKähler and 3-cosymplectic manifolds. https://doi.org/10.7546/jgsp-68-2024-59-80

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