Midpoint Characterization in Symmetric Hadamard Spaces and its Applications
محورهای موضوعی : Mathematical Analysis
1 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.
کلید واژه: Hadamard space, Quasi linearization, CAT(0) spaces, Midpoint, Affine maps,
چکیده مقاله :
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.
