Douglas metrics of (α,β) type

Differential Geometry and its Applications 2026 Open access

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Authors: Changtao Yu
DOI: 10.1016/j.difgeo.2026.102430
Cited by: 0
References: 13

Abstract

In this paper, the Douglas curvature of ( 𝛼 , 𝛽 ) -metrics, a special class of Finsler metrics defined by a Riemannian metric α and a 1-form β , is studied. These metrics with vanishing Douglas curvature in dimension 𝑛 ≥ 3 are classified by using a new class of metrical deformations called β -deformations. The result shows that conformal 1-forms of Riemannian metrics play a key role, and an effective way to construct such 1-forms is provided also by β -deformations.

Fields of Study & Subjects

Advanced Differential Geometry Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
Differential Geometry and its Applications
Publisher
Elsevier BV
Volume
105
Pages
102430–102430
Publication date
10 September 2026
Language
EN