Friday, September 11, 2015

differential geometry - Metric tensor in General Relativity or otherwise






  1. What is the metric tensor?





  2. How can this be a covariant and contravariant tensor, or a mixed tensor, by raising and lowering indices?




  3. How it relates to distance function (metric) and angles?




  4. How does it transport basis vectors from one coordinate system to another?





  5. How is it different from the field tensor, Riemann curvature tensor and Ricci curvature tensor?






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