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.

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

DOI

10.1007/s00013-019-01356-z

Publisher Citation

Ghosh, A., & Sharma, R. (2019). Bochner-Kähler and Bach flat manifolds. Archiv der Mathematik, 1-10.

Available for download on Thursday, September 24, 2020

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