Metric Structures for Riemannian and Non-Riemannian Spaces

Metric structures for Riemannian and non-Riemannian spaces refer to mathematical frameworks used to study the geometric and topological properties of spaces equipped with a metric, which measures distances between points. The distinction between Riemannian and non-Riemannian spaces primarily revolves around the kinds of metrics used and the geometric structures that arise from them. ### Riemannian Spaces 1.