Normal curvature of CR submanifolds of maximal CR dimension of the complex projective space
2018
We prove that there do not exist CR submanifolds Mn of maximal CR dimension of a complex projective space \({\mathbf{P}^{\frac{n+p}{2}}(\mathbf{C})}\) with flat normal connection D of M, when the distinguished normal vector field is parallel with respect to D. If D is lift-flat, then there exists a totally geodesic complex projective subspace \({\mathbf{P}^{\frac{n+1}{2}}(\mathbf{C})}\) of \({\mathbf{P}^{\frac{n+p}{2}}(\mathbf{C})}\) such that M is a real hypersurface of \({\mathbf{P}^{\frac{n+1}{2}}(\mathbf{C})}\).
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
4
References
0
Citations
NaN
KQI