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Geodesic

9:59

Beauty of Geodesics

4:24

Non Euclidean Geodesics!!

1:55:24

Lecture 20: Geodesics (Discrete Differential Geometry)

8:10

Sometimes The Shortest Distance Between Two Points is NOT a Straight Line: GEODESICS by Parth G

11:10

Geodesics and Relativity

In differential geometry, a geodesic is a generalization of the notion of a "straight line" to "curved spaces". The term "geodesic" comes from geodesy, the science of measuring the size and shape of Earth; in the original sense, a geodesic was the shortest route between two points on the Earth's surface, namely, a segment of a great circle. The term has been generalized to include measurements in much more general mathematical spaces; for example, in graph theory, one might consider a geodesic between two vertices/nodes of a graph.
  • Introduction 

  • Metric geometry 

  • Riemannian geometry 

  • Affine geodesics 

  • Computational methods 

  • Applications