Midpoint Characterization in Symmetric Hadamard Spaces and its Applications

In this paper, we characterize symmetric Hadamard spaces by the help of new midpoint propertiesin these spaces and show that any symmetric Hadamard spaces are flat. As an application of the newmidpoint property we characterize the affine mapping in these spaces.

کلیدواژه ها:

CAT(۰) spaces ، Hadamard space ، Quasi linearization ، Affine maps ، Midpoint