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Schouten-like Metrics on Five-Dimensional Nilpotent Lie Groups

Year: 2025

Type: article

Abstract: The prescribed Ricci curvature problem consists of finding a Riemannian metric $g$ to satisfy the equation $Ric(g) = T$, for some fixed symmetric $(0,2)$-tensor field $T$ on a differential manifold $M$. In this paper, we define Schouten-like metric as a particular solution of a prescribed Ricci curvature problem, and we classify them on five-dimensional nilpotent Lie groups by establishing a link with algebraic Schouten solitons.

Source: International Electronic Journal of Geometry

DOI: 10.36890/iejg.1706246

Authors: Marius Landry Foka, Michel Bertrand Ngaha Djiadeu, Thomas Bouetou Bouetou

Institution: Université de Yaoundé I

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4415103242

FWCI:

Cites: 19

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