- International Electronic Journal of Geometry
- Vol: 9 Issue: 1
- Projective Surfaces and Pre-Normalized Blaschke Immersions of Codimension Two
Projective Surfaces and Pre-Normalized Blaschke Immersions of Codimension Two
Authors : Atsushi Fujioka, Hitoshi Furuhata, Takeshi Sasaki
Pages : 100-110
Doi:10.36890/iejg.591899
View : 6 | Download : 3
Publication Date : 2016-04-30
Article Type : Research
Abstract : We prove that any non-degenerate surface in the projective 3-space has a local lift as a minimal pre-normalized Blaschke immersion into the equicentroaffine 4-space. Furthermore, an indefinite surface in the projective 3-space has a local lift as a pre-normalized Blaschke immersion into the equicentroaffine 4-space satisfying the Einstein condition if and only if the surface is projectively applicable to an affine sphere.Keywords : projective surface, affine sphere, pre-normalized Blaschke immersion, centroaffine minimality, Einstein condition