Work

Torqued and anti-torqued vector fields on hyperbolic spaces

Year: 2025

Type: article

Abstract: In this paper, we study the existence of torqued and anti-torqued vector fields on the hyperbolic ambient space Hn. Although there are examples of proper torqued vector fields on open subsets of Hn, we prove that there is not a proper torqued vector field globally defined on Hn. Similarly, we have another non-existence result for anti-torqued vector fields as long as their conformal scalar is a non-constant function satisfying certain conditions. When the conformal scalar is constant, some examples of anti-torqued vector fields are provided.

Source: Filomat

DOI: 10.2298/fil2520043a

Authors: Muhittin Aydin, Adela Mihai, Cihan Özgür

Institutions: Fırat University, Technical University of Civil Engineering of Bucharest, Transilvania University of Brașov, İzmir Demokrasi Üniversitesi

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

OpenAlex ID: W7133485673

FWCI: 0.445

Cites: 24

Cited by: 1

Related to: 10