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arXiv · 2210.10847

Equiaffine structure on frontals

Igor Chagas Santos
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Abstract

In this paper, we generalize the idea of equiaffine structure to the case of frontals and we define the Blaschke vector field of a frontal. We also investigate some necessary and sufficient conditions that a frontal needs to satisfy to have a Blaschke vector field and provide some examples. Finally, taking the theory developed here into account we present a fundamental theorem, which is a version for frontals of the fundamental theorem of affine differential geometry.

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Igor Chagas Santos. 2022-10-19. Equiaffine structure on frontals. https://arxiv.org/abs/2210.10847

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