Photo by anniespratt from unsplash
We have classified Bochner-Kähler manifolds of real dimension $$> 4$$>4, which are also Bach flat. In the 4-dimensional case, we have shown that if the scalar curvature is harmonic, then… Click to show full abstract
We have classified Bochner-Kähler manifolds of real dimension $$> 4$$>4, which are also Bach flat. In the 4-dimensional case, we have shown that if the scalar curvature is harmonic, then it is constant. Finally, we show that the gradient of scalar curvature of any Bochner-Kähler manifold is an infinitesimal harmonic transformation, and if it is conformal, then the scalar curvature is constant.
Keywords:
flat manifolds;
bach flat;
hler bach;
scalar curvature;
bochner hler
Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!