Midpoint Characterization in Symmetric Hadamard Spaces and its Applications

محورهای موضوعی : Mathematical Analysis

Farshid Khojasteh ¹ (Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.)

تاریخ دریافت : 1400/12/13 تاریخ پذیرش : 1400/11/22 تاریخ انتشار : 1401/02/11

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.