On some properties of induced almost contact structures

• Autorzy: Zuzanna Szancer
• Języki publikacji: EN

Abstrakty

EN

Real affine hypersurfaces of the complex space $ℂ^{n+1}$ with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) 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 𝓓 is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.

Kategorie tematyczne

• 53A15: Affine differential geometry
• 53D15: Almost contact and almost symplectic manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 113
• Numer: 1
• Strony: 81-92

Daty

wydano

2015

Twórcy

autor

Zuzanna Szancer

• Department of Applied Mathematics, University of Agriculture in Krakow, 253c Balicka Street, 30-198 Kraków, Poland

Identyfikatory

DOI

10.4064/ap113-1-5