Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0
✍ Scribed by Juan de Dios Pérez; Young Jin Suh
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 432 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
It is known that there do not exist real hypersurfaces with parallel curvature tensor in quaternionic projective spaces. In this paper we classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of certain 3-dimensional distribution.
📜 SIMILAR VOLUMES
Given an absolutely irreducible horizontal hypersurface Z in a projective space over the ring of integers R of a number field, we give an explicit bound for the product of the norms of the prime ideals of R over which the fibre of Z becomes reducible. This bound is given as a function of a projectiv