紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2012, 49(3), p. 551-562

ON POSITIVE QUATERNIONIC KÄHLER MANIFOLDS WITH b_4=1

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2012-09

Let M be a positive quaternionic Kähler manifold of dimension 4m. In earlier papers, Fang and the first author showed that if the symmetry rank is greater than or equal to [m=2]+3, then M is isometric to HP^m or Gr_2(C^<m+2>). The goal of this paper is to give a more refined classification result for positive quaternionic Kähler manifolds (in particular, of relatively low dimension or with even m) whose fourth Betti number equals one. To be precise, we show in this paper that if the symmetry rank of M with b_4(M)=1is no less than [m/2]+2 for ≥5, then M is isometric to HP^m.

10.18910/23146

23146

ON POSITIVE QUATERNIONIC KÄHLER MANIFOLDS WITH b_4=1

Osaka University and Osaka City University, Departments of Mathematics

英語

2012-09

Osaka Journal of Mathematics

49

3

551

562

https://hdl.handle.net/11094/23146

10.18910/23146

https://doi.org/10.18910/23146