Weyl, projective and conformal semi-symmetric complex hypersurfaces in semi-Kaehler space forms
Volume 150 / 2017
Colloquium Mathematicum 150 (2017), 39-61
MSC: Primary 53B30, 53B50; Secondary 53C80, 83C15.
DOI: 10.4064/cm6847s-3-2017
Published online: 4 August 2017
Abstract
The purpose of this paper is to introduce the notions of Weyl semi-symmetric, projective semi-symmetric and conformal semi-symmetric curvature tensor defined on semi-Kaehler manifolds. Moreover, by using a new version of E. Cartan’s complex exterior derivative method we give a complete classification of complex hypersurfaces $M$ in semi-Kaehler space forms $M_{s+t}^{n+1}(c)$ with Weyl semi-symmetric, projective semi-symmetric or conformal semi-symmetric curvature tensor, respectively.
