Killing and 2-Killing 1-Forms on Poisson Doubly Warped Product Manifolds
Abstract
In this paper we investigate Killing and 2-Killing 1-forms on a Poisson doubly warped product manifold (PDWPM). We establish a connection between the property of 1-form on a PDWPM and its components on the factor manifolds to be Killing or 2-Killing. We also demonstrate that a Killing 1-form on a PDWPM generates a contravariant Ricci soliton factor manifold if and only if it is a contravariant Einstein manifold. Additionally, we provide necessary and sufficient conditions for a PDWPM to be a Poisson singly warped product manifold (PSWPM). Finally, we present examples of Killing and 2-Killing 1-forms on PDWPMs with one-dimensional, and two-dimensional base spaces.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Publication details
- Journal / source
- Mathematics
- Volume
- 14
- Issue
- 2
- Pages
- 301–301
- Publication date
- 14 January 2026
- Language
- EN