• Hemangi M Shah

Articles written in Proceedings – Mathematical Sciences

• A New Proof of the Theorem: Harmonic Manifolds with Minimal Horospheres are Flat

In this note we reprove the known theorem: Harmonic manifolds with minimal horospheres are flat. It turns out that our proof is simpler and more direct than the original one. We also reprove the theorem: Ricci flat harmonic manifolds are flat, which is generally affirmed by appealing to Cheeger–Gromov splitting theorem. We also confirm that if a harmonic manifold 𝑀 has same volume density function as $\mathbb{R}^n$, then 𝑀 is flat.

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019