Photo by naomish from unsplash
Abstract Let M be a real hypersurface of a complex space form Mn(c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M… Click to show full abstract
Abstract Let M be a real hypersurface of a complex space form Mn(c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface. By doing this we can give the definition of pseudo-Einstein real hypersurface under weaker conditions.
Keywords:
einstein real;
pseudo einstein;
real hypersurface;
real hypersurfaces
Journal Title: Advances in Geometry
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Advances in Geometry
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!