具有 $h$-近 Ricci 孤立子结构的双重卷积流形

Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (5): 1685-1690.

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Doubly Warped Product Manifolds with the Structure of $h$-Almost Ricci Solitons

Xiaoxue Wang(), Jiancheng Liu^*()

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070

Received:2025-03-28 Revised:2025-07-09 Online:2026-10-26 Published:2026-09-07
Contact: Jiancheng Liu E-mail:2837759265@qq.com;liujc@nwnu.edu.cn
Supported by:
NSFC(12161078);Innovative Fundamental Research Group Project of Gansu Province(24JRRA778)

Abstract

Abstract:

This paper investigates doubly warped product manifolds endowed with an $h$-almost Ricci soliton structure. We establish the necessary and sufficient conditions for a doubly warped product manifold to be an $h$-almost Ricci soliton. Furthermore, we prove that under certain conditions, doubly warped product manifolds with an $h$-almost Ricci soliton structure, along with their base and fiber manifolds, are all Einstein manifolds.

Key words: $h$-almost Ricci soliton, doubly warped product manifold, Einstein manifold

CLC Number:

O186.12

Xiaoxue Wang, Jiancheng Liu. Doubly Warped Product Manifolds with the Structure of $h$-Almost Ricci Solitons[J].Acta mathematica scientia,Series A, 2026, 46(5): 1685-1690.

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Doubly Warped Product Manifolds with the Structure of $h$-Almost Ricci Solitons

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