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math.DG2020
Collapsed limits of compact Heisenberg manifolds with sub-Riemannian metrics
Kenshiro Tashiro
In this paper, we show that every collapsed Gromov--Hausdorff limit of compact Heisenberg manifolds is isometric to a flat torus. Here we say that a sequence of sub-Riemannian mani…
math.DG2020★ 1 cited
Mahler type theorem and non-collapsed limits of sub-Riemannian compact Heisenberg manifolds
Kenshiro Tashiro
In this paper, we study a non-collapsed Gromov--Hausdorff limit of a sequence of compact Heisenberg manifolds with sub-Riemannian metrics. In the case of strictly sub-Riemannian ca…