2023/01/29 by Benigno Alves, Alves, Benigno Oliveira, Patrícia Marçal +1
Physics and Astronomy · #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.2301.12315
The generalized Zermelo navigation problem looks for the shortest time paths in an environment, modeled by a Finsler manifold (M,F), under the influence of wind or current, represented by a vector field W. The main objective of this paper is to investigate the relationship between the isoparametric functions on the manifold M with and without the presence of the vector field W. For the positive-definite cases, we also compare the mean curvatures in the manifold. Overall, we follow a coordinate-free approach.