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On some properties of induced almost contact structures

Volume 113 / 2015

Zuzanna Szancer Annales Polonici Mathematici 113 (2015), 81-92 MSC: 53A15, 53D15. DOI: 10.4064/ap113-1-5

Abstract

Real affine hypersurfaces of the complex space $\mathbb {C}^{n+1}$ with a $J$-tangent transversal vector field and an induced almost contact structure ${(\varphi ,\xi ,\eta )}$ are studied. Some properties of the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution $\mathcal {D}$ is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or $\xi $-invariant are also given.

Authors

  • Zuzanna SzancerDepartment of Applied Mathematics
    University of Agriculture in Krakow
    253c Balicka Street
    30-198 Kraków, Poland
    e-mail

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