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The second fundamental form is a mathematical object used in differential geometry that provides a way to describe how a surface bends in a higher-dimensional space. Specifically, it is associated with a surface \( S \) embedded in a higher-dimensional Euclidean space, such as \(\mathbb{R}^3\).

Ancestors (6)

  1. Differential geometry
  2. Mathematical physics
  3. Applied mathematics
  4. Fields of mathematics
  5. Mathematics
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