Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms
Abstract
UDC 515.12 We study a second order parallel symmetric tensor in an $\mathcal{S}$-manifold and we deduce that there is no semi-parallel hypersurface in $\mathcal{S}$-space forms $\widetilde{M}^{2n+s}(c)$ with $c\neq s.$
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 10
- Pages
- 1422–1429
- Publication date
- 9 February 2026
- Language
- EN