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arXiv · 1304.2242

Local geometry of surfaces in $\mathbf R^4$

J. Basto-Gonçalves
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Abstract

The indicatrix or curvature ellipse and the characteristic curve of a surface in $\mathbf R^4$ are presented, as well as the projective duality connecting them. The characterisation of points in the surfaces as elliptic, parabolic and hyperbolic points, and the inflection points, are also discussed.

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J. Basto-Gonçalves. 2013-04-08. Local geometry of surfaces in $\mathbf R^4$. https://arxiv.org/abs/1304.2242

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