definition 13.20 Unit normal vector of a surface

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:946 · p. 461

Rests on

depends_on definition 13.19 Parameter curves ¶
- depends_on definition 13.8 Curve ¶
- depends_on definition 13.18 Surface ¶

depends_on definition 13.28 Normal curvature vector of a surface ¶
- depends_on definition 13.29 Gaussian curvature ¶
  - depends_on theorem 13.30 Theorema Egregium; Gauss, 1827 ¶
    - depends_on corollary 13.31 Bending invariance ¶
- depends_on definition 13.36 Geodesic curvature vector ¶
  - depends_on definition 13.37 Geodesic lines ¶
depends_on definition 13.25 Second fundamental coefficients ¶
- depends_on definition 13.29 Gaussian curvature ¶ ↺
- depends_on definition 13.27 Riemann symbols ¶
  - depends_on theorem 13.30 Theorema Egregium; Gauss, 1827 ¶ ↺
- depends_on proposition A.493 A harmonic conformal map is a minimal surface ¶
depends_on definition 13.24 Second fundamental form ¶
- depends_on definition 13.25 Second fundamental coefficients ¶ ↺

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Parameter curves	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:952
`depends_on`	←	Normal curvature vector of a surface	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1418
`depends_on`	←	Second fundamental coefficients	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1124
`depends_on`	←	Second fundamental form	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1111