Lie algebras of \(H\)-projective motions of Kähler manifolds of constant holomorphic sectional curvature. (English. Russian original) Zbl 0972.53041
Math. Notes 65, No. 6, 679-683 (1999); translation from Mat. Zametki 65, No. 6, 803-809 (1999).
Authors’ abstract: In the paper, the Lie algebras of infinitesimal \(H\)-projective transformations with \(2n\)-dimensional Kähler manifolds of constant holomorphic sectional curvature are considered. It is proved that these algebras are isomorphic to the realification of the complex Lie algebra \(sl(n,\mathbb{C})\), and their local realization in the form of an algebra of vector fields on a manifold is described.
MSC:
| 53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
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