A hypersurface is totally geodesic when every ambient geodesic initially tangent to it remains in it. Equivalently, its extrinsic curvature vanishes identically.

Ancestors (8)

  1. Extrinsic curvature
  2. Hypersurface
  3. Smooth manifold
  4. Differential geometry
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
  8. Home

Synonyms (1)

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