\(K\)-concircular vector fields and holomorphically projective mappings on Kählerian spaces. (English) Zbl 0902.53015

Mikeš, J.; Starko, G. A.

Slovák, Jan (ed.), Proceedings of the 16th Winter School on geometry and physics, Srní, Czech Republic, January 13–20, 1996. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 46, 123-127 (1997).

Author’s abstract: “\(K\)-concircular vector fields on Kählerian and hyperbolically Kählerian spaces are studied. Metric tensors of these spaces are found in explicit form. Metrics admitting \(K\)-concircular vector fields which are in holomorphically projective correspondence are found”.
For the entire collection see [Zbl 0866.00050].

Reviewer: E.García-Río (Santiago de Compostela)

MSC:

53B35

Local differential geometry of Hermitian and Kählerian structures

Keywords:

\(K\)-concircular vector fields; Kählerian spaces; hyperbolically Kählerian spaces