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Hypersurfaces with almost complex structures in the real affine space

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Kon M.

Colloquium Mathematicum

2007

tom 108

nr 2

329-338

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.

Semi-parallel CR submanifolds in a complex space form

100%

Kon M.

Colloquium Mathematicum

2011

tom 124

nr 2

237-246

We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Kon M.

1 2011

1 2007

Wyniki wyszukiwania

Hypersurfaces with almost complex structures in the real affine space

Semi-parallel CR submanifolds in a complex space form