CR-Manifolds of Finite Bloom–Graham Type: the Model Surface Method
V. K. Beloshapka
Abstract
In the paper, the model surface method is applied to arbitrary CR-manifolds of finite Bloom–Graham type. A family of basic assertions is proved. It is proved also that, for a model surface, the condition that the Bloom–Graham type is constant is a criterion for holomorphic homogeneity. Distinctions from the case of rigid models treated earlier are clarifies. A series of questions and conjectures is formulated.
Topics & Concepts
BloomType (biology)Homogeneity (statistics)Holomorphic functionConstant (computer programming)Surface (topology)MathematicsApplied mathematicsPure mathematicsMathematical analysisGeometryComputer scienceGeologyPaleontologyOceanographyStatisticsProgramming languageHolomorphic and Operator TheoryGeometric Analysis and Curvature FlowsAlgebraic and Geometric Analysis