In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric.
Carl Friedrich Gauss in 1828
Bernhard Riemann (1826-1866)
A single-sheeted quadric hyperboloid which is a ruled surface in two different ways.
Eugenio Beltrami (1835-1899)
Geodesic
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In geometry, a geodesic is a curve representing in some sense the locally shortest path between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any di
Geodesic triangles in spaces of positive (top), negative (middle) and zero (bottom) curvature.