Work

ON SCALAR CURVATURE OF GRADIENT r-ALMOST-NEWTON-EINSTEIN SOLITONS

Year: 2025

Type: article

Abstract: In this work we establish the concept of r-almost-Newton-Einstein soliton immersed into a Riemannian manifold, which extends in a natural way the notion of Einstein solitons introduced by Catino et al. [8].In this setting, under suitable hypothesis on the potential and soliton functions, we prove nonexistence and characterization results.Also, we proved some triviality results for the compact case and under some conditions we get a constant scalar curvature.

Source: Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan

DOI: 10.30546/2409-4994.2025.51.1.1031

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa do Estado do Piauí

Awards: G2211983094, G2286822848, G3545175385, G4817685478

OpenAlex ID: W4410849534

FWCI:

Cites: 2

Cited by:

Related to: 10