On the classification theorems of almost-Hermitian or homogeneous Kähler structures. (English) Zbl 1152.53037
In the paper under review, the authors obtained new proofs of the classification theorems by A. Gray and L. M. Hervella of almost-Hermitian structures [Ann. Mat. Pura Appl. (4) 123, 35–58 (1980; Zbl 0444.53032)] and by E. Abbena and S. Garbiero on homogeneous Kähler structures [Proc. Edinb. Math. Soc. (2) 31, No. 3, 375–395 (1988; Zbl 0637.53065)]. The main tool of these proofs are Young tableux and symmetrizers.
Reviewer: Yurii G. Nikonorov (Rubtsovsk)
MSC:
| 53C30 | Differential geometry of homogeneous manifolds |
| 05E10 | Combinatorial aspects of representation theory |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
References:
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