Work

Open Alexandrov spaces of nonnegative curvature

Year: 2025

Type: article

Abstract: Let [Formula: see text] be an open (i.e. complete, non-compact and without boundary) Alexandrov [Formula: see text]-space of nonnegative curvature with a soul [Formula: see text]. In this paper, we will establish several structural results on [Formula: see text] that can be viewed as counterparts of structural results on an open Riemannian manifold with nonnegative sectional curvature.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199725500622

Authors: Xueping Li, Xiaochun Rong

Institutions: Jiangsu Normal University, Rutgers, The State University of New Jersey, Capital Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Capital Normal University, National Natural Science Foundation of China, Bulgarian National Science Fund, Jiangsu Normal University

Awards: G1289226281, G146394020, G1637799981, G4716681592