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Curvature tensors of complex and double-quadratic elliptic spaces. (Russian) Zbl 0725.53026

The complex \(({\mathbb{C}}S_ n)\) and double-quadratic elliptic \(('{\mathbb{C}}S_ n)\) spaces have for their complex resp. double metrics \((ds^ 2)\) as real parts metrics of real symmetric pseudo-Riemannian \((^ nV_{2n})\) and Riemannian \((V_{2n})\) spaces. The curvature tensors of \({\mathbb{C}}S_ n\) and \('{\mathbb{C}}S_ n\) are studied for these metrics.
Reviewer: G.Stanilov (Sofia)

MSC:

53B20 Local Riemannian geometry
53C56 Other complex differential geometry
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