An equivalence theorem of a class of Minkowski norms and its applications
Abstract
In this paper, the Cartan tensors of the (α,β)-norms are investigated in details. Then an equivalence theorem of (α,β)-norms is proved. As a consequence in Finsler geometry, general (α,β)-metrics on smooth manifolds of dimension n≥4 with vanishing Landsberg curvatures must be Berwald manifolds.
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.