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arXiv · 1503.09108

Equiaffine geometry of level sets and ruled hypersurfaces with equiaffine mean curvature zero

Daniel J. F. Fox
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Abstract

Basic aspects of the equiaffine geometry of level sets are developed systematically. As an application there are constructed families of $2n$-dimensional nondegenerate hypersurfaces ruled by $n$-planes, having equiaffine mean curvature zero, and solving the affine normal flow. Each carries a symplectic structure with respect to which the ruling is Lagrangian.

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Daniel J. F. Fox. 2017-11-03. Equiaffine geometry of level sets and ruled hypersurfaces with equiaffine mean curvature zero. https://doi.org/10.1002/mana.201500128

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