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6 papers

math.DG2026

Golden Finsler Geometry: Local Properties and Global Deformations

Ebtsam H. Taha, Bankteshwar Tiwari, A. Soleiman

The paper defines a new "golden" Finsler structure on smooth manifolds, derives its local metric and geodesic properties, studies projective flatness of related (α,β)-metrics, and…

math.DG2025

A Concurrent Generalized Kropina Change

A. Soleiman, Ebtsam H. Taha

This paper investigates a generalized Kropina metric featuring a specific -form. Start with a Finsler manifold admits a concurrent -vector field , then…

math.DG2025

On the generalized -Kropina metrics

Ebtsam H. Taha

Generalized -Kropina metrics appear naturally as a spacetime geometry compatible with Lorentz symmetry breaking, leading to useful applications in modified gravity and cosmology…

math.DG2025

On Generalized Matsumoto Metrics with a Special -form

A. Soleiman, Ebtsam H. Taha

We explore a generalization of Matsumoto metric intrinsically. Given a Finsler manifold which admits a concurrent -vector field , we consider the change $\…

math.DG2025

Special anisotropic conformal changes of conic pseudo-Finsler surfaces

Nabil L. Youssef, Ebtsam H. Taha, A. A. Kotb +1

This study presents many special anisotropic conformal changes of a conic pseudo-Finsler surface , such as -anisotropic and horizontal -anisotropic conformal transform…

math.DG2025

Anisotropic conformal change of conic pseudo-Finsler surfaces, II

Nabil L. Youssef, S. G. Elgendi, A. A. Kotb +1

This paper is a continuation of our investigation of the anisotropic conformal change of a conic pseudo-Finsler surface , namely, the change $\overline{F}(x,y)=e^{ϕ(x,y)}F(…