Differential geometry of complex hypersurfaces II*

The Möbius Geometry of Hypersurfaces, Ii

Geometry II - Discrete Differential Geometry

The Möbius Geometry of Hypersurfaces

It is a familiar fact in several complex variables that the hermitian quadratic form Lr,p is invariant under biholomorphism. (Restricted to the complex tangent space, this is exactly the Levi form.) It is less familiar that the non-hermitian form Qr,p is invariant under Möbius transformation when restricted to the complex tangent space. This is established in Section 2. Our main result is the f...

Differential Geometry of Complex Vector Bundles

Pseudo Ricci symmetric real hypersurfaces of a complex projective space

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.