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- W4300570991 abstract "Let $widetilde{J}$ be the canonical para-complex structure on $mathbb{R}^{2n+2}simeqwidetilde{mathbb{C}}^{n+1}$. We study real affine hypersurfaces $fcolon Mrightarrow widetilde{mathbb{C}}^{n+1}$ with a $widetilde{J}$-tangent transversal vector field. Such vector field induces in a natural way an almost paracontact structure ${(varphi,xi,eta)}$ on $M$ as well as the affine connection $nabla$. In this paper we give the classification of hypersurfaces with the property that $varphi$ or $eta$ is parallel relative to the connection $nabla$. Moreover, we show that if $nablavarphi=0$ (respectively $nablaeta=0$) then around each point of $M$ there exists a parallel almost paracontact structure. Results we illustrate with some examples." @default.
- W4300570991 created "2022-10-03" @default.
- W4300570991 creator A5026109715 @default.
- W4300570991 date "2018-05-17" @default.
- W4300570991 modified "2023-09-29" @default.
- W4300570991 title "Parallel Almost Paracontact Structures on Affine Hypersurfaces" @default.
- W4300570991 doi "https://doi.org/10.48550/arxiv.1805.08054" @default.
- W4300570991 hasPublicationYear "2018" @default.
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