Real hypersurfaces with parallel induced almost contact structures

Volume 104 / 2012

Zuzanna Szancer Annales Polonici Mathematici 104 (2012), 203-215 MSC: 53A15, 53D15. DOI: 10.4064/ap104-2-7

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 hypersurfaces with $\varphi$ or $\eta$ parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.

Authors

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

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