On the structure vector field of a real hypersurface in complex quadric

Abstract

From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of Jacobi type.

Keywords

• real hypersurfaces
• complex quadric
• jacobi type vector field
• structure vector field
• killing vector field
• 53c40
• 53c15