On general (alpha,beta)-metrics with vanishing Douglas curvature
Abstract
In this paper, we study a class of Finsler metrics called general (α,β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We find an equation which is necessary and sufficient condition for such Finsler metric to be a Douglas metric. By solving this equation, we obtain all of general (α,β)-metrics with vanishing Douglas curvature under certain condition. Many new non-trivial examples are explicitly constructed.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.