Equidistant Kähler spaces. (English. Russian original) Zbl 0594.53024

Math. Notes 38, 855-858 (1985); translation from Mat. Zametki 38, 627-633 (1985).
The author determines the general form of the metric tensor of equidistant Kähler spaces of basic type in some coordinate system (i.e., he describes all of these spaces locally). Consequences for nontrivial geodesic and holomorphically projective maps of Kähler spaces follow.
Reviewer: J.Szilasi


53B35 Local differential geometry of Hermitian and Kählerian structures
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