2007Colloquium MathematicumOpen access

Hypersurfaces with almost complex structures in the real affine space

Mayuko Kon

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Abstract

We study affine hypersurface immersions $f: M \rightarrow {\mathbb R}^{2n+1}$, 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

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We study affine hypersurface immersions $f: M \rightarrow {\mathbb R}^{2n+1}$, 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

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Available abstract

We study affine hypersurface immersions $f: M \rightarrow {\mathbb R}^{2n+1}$, 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

Key concepts: Hypersurface, Mathematics, Affine transformation, Manifold (fluid mechanics), Complex space, Pure mathematics, Affine space, Space (punctuation)

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