For a unit-speed geodesic and a fixed-endpoint variation, the second variation of length is the index form of the normal component of its variation vector field.

Ancestors (9)

  1. Riemannian index form
  2. Variation vector field
  3. Energy of a curve
  4. Riemannian geometry
  5. Differential geometry
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
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