Affinely homogeneous real hypersurfaces of C-2

作者：Loboda A V^*

来源：Functional Analysis and Its Applications, 2013, 47(2): 113-126.

DOI：10.1007/s10688-013-0016-x

• complex space
• affine transformation
• homogeneous submanifold
• vector field
• Lie algebra
• Levi form
• canonical equation of a hypersurface

A complete affine classification of germs of affinely homogeneous real hypersurfaces of a",(2) is presented. The two main tools used in the classification are canonical local equations of manifolds and the theory of Lie algebras. The classification obtained in the paper is shown to be different from the well-known description of holomorphically homogeneous real hypersurfaces of a",(2) due to A parts per thousand. Cartan (1932).

• 出版日期2013-4