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arXiv · alg-geom/9702003

Dual varieties and the duality of the second fundamental form

Tohsuke Urabe
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Abstract

First, we consider a compact real-analytic irreducible subvariety $M$ in a sphere and its dual variety $M^\vee$. We explain that two matrices of the second fundamental forms for both varieties $M$ and $M^\vee$ can be regarded as the inverse matrices of each other. Also generalization in hyperbolic space is explained.

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Tohsuke Urabe. 1997-02-03. Dual varieties and the duality of the second fundamental form. https://arxiv.org/abs/alg-geom/9702003

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