Local midpoints on smooth manifolds
Local midpoints on smooth manifolds is a scholarly work, published in 2015 in ''Differential Geometry and its Applications''. The main subjects of the publication include mathematics, isogeometric analysis, midpoint methods, Finsler manifold, midpoint, geodesic curve, geometry, and mathematical analysis. The authors also derive a version of the Lie-Trotter formula based on the midpoint operation and use it to show that continuous maps preserving (local) midpoints are smooth.