Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, F

Geometry | Part IB, 2010

(i) Define the notion of curvature for surfaces embedded in R3\mathbb{R}^{3}R3.

(ii) Prove that the unit sphere in R3\mathbb{R}^{3}R3 has curvature +1+1+1 at all points.

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