Midpoint Characterization in Symmetric Hadamard Spaces and its Applications

الموضوعات :

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

تاريخ الإرسال : 01 الجمعة , شعبان, 1443 تاريخ التأكيد : 10 الجمعة , رجب, 1443 تاريخ الإصدار : 30 الأحد , رمضان, 1443

الکلمات المفتاحية: Hadamard space, Quasi linearization, CAT(0) spaces, Midpoint, Affine maps,

ملخص المقالة :

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.