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Shape operator ( $S_{p}$ )

For an oriented surface with Gauss map

N

, the shape operator at

p

is the self-adjoint linear map

S_{p} = - d N_{p} : T_{p} S \to T_{p} S .

Table of contents 91 3
- Principal curvature Shape operator 42 1
  - Umbilical point Principal curvature 26
- Euclidean invariance of the shape operator Shape operator 30

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