Work

Some Properties Concerning the Cheeger-Gromoll Type Deformation of Metric $g$ on a Riemannian Manifold $(M^{m},g)$

Year: 2025

Type: article

Abstract: In this paper, we introduce a new class of metrics on a Riemannian manifold, which is obtained by deforming the metric of this Riemannian manifold into a Cheeger-Gromoll-type metric. We first investigate the Levi-Civita connection for this metric. Then we characterize the Riemannian curvature, the sectional curvature, and the scalar curvature. Finally, we explore a class of harmonic and biharmonic maps.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1656932

Authors: Abderrahım Zagane, Fethi Lattı

Institutions: Ahmed Zabana University - Relizane, Centre universitaire Salhi Ahmed - Naama

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411765938

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Cites: 13

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Related to: 10