Riemannian Geometry

Riemannian Geometry is a branch of mathematics that studies curved spaces, extending the concepts of traditional geometry. It involves the study of surfaces and higher-dimensional spaces where distances and angles can vary. This framework is crucial in understanding the shape of the universe in general relativity, where gravity is seen as a curvature of spacetime caused by mass. Essentially, Riemannian Geometry allows us to analyze and understand complex shapes and their properties, providing tools essential for fields like physics, engineering, and computer science.