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- W2020093664 abstract "A quaternionic Kahler manifold M is called {it positive} if it has positive scalar curvature. The main purpose of this paper is to prove several connectedness theorems for quaternionic immersions in a quaternionic Kahler manifold, e.g. the Barth-Lefschetz type connectedness theorem for quaternionic submanifolds in a positive quaternionic Kahler manifold. As applications we prove that, among others, a 4m-dimensional positive quaternionic Kahler manifold with symmetry rank at least (m-2) must be either isometric to Bbb HP^m or Gr_2(Bbb C^{m+2}), if mge 10." @default.
- W2020093664 created "2016-06-24" @default.
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- W2020093664 date "2003-08-14" @default.
- W2020093664 modified "2023-10-16" @default.
- W2020093664 title "Positive quaternionic Kaehler manifolds and symmetry rank" @default.
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