On the pluriclosed flow on Oeljeklaus–Toma manifolds
نویسندگان
چکیده
Abstract We investigate the pluriclosed flow on Oeljeklaus–Toma manifolds. parameterize left-invariant metrics manifolds, and we classify ones which lift to an algebraic soliton of universal covering. further show that starting from a metric has long-time solution $\omega _t$ once normalized collapses torus in Gromov–Hausdorff sense. Moreover, $\tfrac {1}{1+t}\omega covering manifold converges Cheeger–Gromov sense $(\mathbb H^s\times \mathbb C^s, \tilde {\omega }_{\infty })$ , where $\tilde }$ is soliton.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2022
ISSN: ['1496-4279', '0008-414X']
DOI: https://doi.org/10.4153/s0008414x22000670