The Flag Curvature of a Submanifold of a Randers–Minkowski Space in Terms of Zermelo Data

Abstract The main result of this paper is an expression the flag curvature a submanifold Randers–Minkowski space $$({\mathscr {V}},F)$$ ( V , F ) in terms invariants related to its Zermelo data ( h , W ). More precisely, these are sectional and second fundamental form positive definite scalar product some projections wind . This allows for promising characterization submanifolds with Riemannian quantities, which, when hypersurface considered, seems quite approachable. As consequence, we prove that any -flat S has F -flag metric conformally flat. tool making computation, previously reobtain Gauss–Codazzi equations pseudo-Finsler using anisotropic calculus.