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- W2949633747 abstract "Germs of locally homogeneous CR manifolds M can be characterized in terms of certain algebraic data, e.g., by CR-algebras. We give an explicit formula which relates the Levi form of such an M and its higher order analogues to the Lie brackets in certain finite dimensional Lie algebras. As an application we give a simple characterization of geometric properties of M such as minimality, k-nondegeneracy, holomorphic degeneracy etc. in purely algebraic terms. We present an example of a homogeneous 3-nondegenerate CR-manifold. We also determine a universal upper bound for the order k of k-nondegenerate orbits of real forms in flag manifolds." @default.
- W2949633747 created "2019-06-27" @default.
- W2949633747 creator A5003422120 @default.
- W2949633747 date "2006-06-01" @default.
- W2949633747 modified "2023-09-25" @default.
- W2949633747 title "Locally homogeneous finitely nondegenerate CR-manifolds" @default.
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- W2949633747 hasPublicationYear "2006" @default.
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