https://neckpinch.com/authors/zhiming-huang/New arXiv papers by Zhiming Huang, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2209.11921/arxiv:2209.11921Sat, 24 Sep 2022 00:00:00 GMTZhiming Huang, Weijun Lu, Fuhong Su — As a generalization of Einstein manifolds, the nearly quasi-Einstein manifolds and pseudo quasi-Einstein manifolds are both interesting and useful in studying the general relativity. In this paper, we study the extended quasi-Einstein manifolds which derive from pseudo quasi-Einstein manifolds. After showing the existence theorem of extended quasi-Einstein manifold, we give some special geometric properties of such manifolds. At the same time, we also discuss the extended quasi-Einstein manifolds with certain soliton like generalised Ricci soliton or Riemann soliton. Furthermore, we construct some nontrivial example to illustrate these extended quasi-Einstein manifolds.Generalized & G₂ flowsRicci solitonsEinstein metricsAlmost & η-Ricci solitonsPhysics