Submanifolds with homothetic Gauss map in codimension two
- Resource Type
- Original Paper
- Authors
- de Freitas, Guilherme Machado
- Source
- Geometriae Dedicata. February 2016 180(1):151-170
- Subject
- Homothetic Gauss map
Third fundamental form
Minimal Einstein submanifolds
Codimension two
- Language
- English
- ISSN
- 0046-5755
1572-9168
Let Mn. We furthermore study and classify codimension two submanifolds with homothetic Gauss map in real space forms of nonzero curvature. To conclude, based on a strong connection established between homothetic Gauss map and minimal Einstein submanifolds, we pose a conjecture suggesting a possible complete classification of the submanifolds with the former property in arbitrary codimension.