# Differential geometry Reference Libraries

Geometry is a branch of mathematics that is concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the geometry field is called a geometer. Geometry arose independently in numerous early cultures as a body of practical knowledge concerning areas, lengths, and volumes, with elements of a formal mathematical science...

Geodesic -- In mathematics and specifically in differential geometry, a geodesic is a path that furnishes shortest paths between any points on it that are close enough together. The most familiar examples are the straight lines in Euclidean geometry. In more general spaces the geodesics can be more complicated, but one often still thinks of them as "straight" in a sense. On a sphere,...