Rigidity of c1‐self‐dual connections on quaternionic Kähler manifolds

Rigidity of c1‐self‐dual connections on quaternionic Kähler manifolds
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四元数凯勒流形上的 c1-自对偶连接的刚性

DOI:
10.1063/1.529989
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发表时间:
1992
影响因子:
1.3
通讯作者:
Yasuyuki Nagatomo
Yasuyuki Nagatomo
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yasuyuki Nagatomo

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收录于《Galicki and Poon》[J.太棒了。32,1263(1991)],在四元数Kahler流形上定义了某些自对偶联络。本文证明了具有非零标量曲率的单连通四元数Kahler流形本质上只有一个C1-自对偶联络。
In Galicki and Poon [J. Math. Phys. 32, 1263 (1991)], certain self‐dual connections are defined on quaternionic Kahler manifolds. In this paper, it is proved that there is essentially only one c1‐self‐dual connection over any simply connected quaternionic Kahler manifold with nonzero scalar curvature.