Author URLs
Document Type
Article
Publication Date
2019
Disciplines
Mathematics
Abstract
We have classified Bochner-Kähler manifolds of real dimension > 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.
DOI
10.1007/s00013-019-01356-z
Repository Citation
Ghosh, Amalendu and Sharma, Ramesh, "Bochner-Kähler and Bach Flat Manifolds" (2019). Mathematics Faculty Publications. 20.
https://digitalcommons.newhaven.edu/mathematics-facpubs/20
Publisher Citation
Ghosh, A., & Sharma, R. (2019). Bochner-Kähler and Bach flat manifolds. Archiv der Mathematik, 1-10.
Comments
This is a post-peer-review, pre-copyedit version of an article published in Archiv der Mathematik. The final authenticated version is available online at https://doi.org/10.1007/s00013-019-01356-z.
Mathematics Subject Classification 53B35 53C25