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arXiv · 1710.10488

$\widetilde{J}$-tangent affine hypersurfaces with an induced almost paracontact structure

Zuzanna Szancer
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Abstract

We study real affine hypersurfaces $f\colon M\rightarrow \mathbb{R}^{2n+2}$ with an almost paracontact structure $(\varphi ,\xi,\eta)$ induced by a $\widetilde{J}$-tangent transversal vector filed, where $\widetilde{J}$ is the canonical paracomplex structure on $\mathbb{R}^{2n+2}$. We give a classification of hypersurfaces for which an induced almost paracontact structure is metric relative to the second fundamental form. Some other properties of such hypersurfaces are also studied.

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Zuzanna Szancer. 2017-10-28. $\widetilde{J}$-tangent affine hypersurfaces with an induced almost paracontact structure. https://arxiv.org/abs/1710.10488

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