Hypersurfaces with almost complex structures in the real affine space

• Autorzy: Mayuko Kon
• Języki publikacji: EN

Abstrakty

EN

We study affine hypersurface immersions $f: M → ℝ^{2n+1}$, where M is an almost complex n-dimensional manifold. The main purpose is to give a condition for (M,J) to be a special Kähler manifold with respect to the Levi-Civita connection of an affine fundamental form.

Kategorie tematyczne

• 53A15: Affine differential geometry
• 53C26: Hyper-K\"ahler and quaternionic K\"ahler geometry, ``special'' geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 108
• Numer: 2
• Strony: 329-338

Daty

wydano

2007

Twórcy

autor

Mayuko Kon

• Department of Mathematics, Hokkaido University, Kita 10 Nishi 8, Sapporo 060-0810, Japan

Identyfikatory

DOI

10.4064/cm108-2-14