Results 171 to 180 of about 6,228 (205)
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On finitely nondegenerate closed homogeneous CR manifolds

Annali di Matematica Pura ed Applicata, 2022
A complex flag manifold F=G/Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
S. Marini, C. Medori, M. Nacinovich
semanticscholar   +1 more source

Algebraic Classification and Obstructions to Embedding of Strongly Pseudoconvex Compact 3‐dimensional CR Manifolds in C3

Mathematische Nachrichten, 1994
The authors study, as natural first step to the classification of compact strongly pseudoconvex CR manifolds, the algebraic equivalence and topologically algebraic equivalence of such CR manifolds of dimension three, assuming that they are CR embeddable in complex Euclidean spaces. For a compact strongly CR manifold \(X\) embeddable in \(\mathbb{C}^N \)
Luk, Hing Sun   +2 more
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Embedding of pseudoconvex CR manifolds of Levi-forms with one degenerate eigenvalue

Pacific Journal of Mathematics, 2002
The author extends the results of \textit{M. Kuranishi} [Ann. Math. (2) 115, No. 3, 451--500 (1982; Zbl 0505.32018)], \textit{T. Akahori} [Mem. Am. Math. Soc. 366 (1987; Zbl 0628.32025)], \textit{S. M. Webster} [Ann. Inst. H. Poincaré, Anal. Non Linéaire 6, No. 3, 183--207 (1989; Zbl 0679.32020)] and \textit{D. W. Catlin} [J. Geom. Anal. 4, No. 4, 467--
openaire   +2 more sources

Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics

, 2016
A central problem in Mathematics is the classification problem. Given a set of objects and an equivalence relation, loosely speaking, the problem asks how to find an accessible way to tell whether two objects are in the same equivalence class.
Xiaojun Huang, Ming Xiao
semanticscholar   +1 more source

Embedding Compact Three-Dimensional CR Manifolds of Finite Type in C n

The Annals of Mathematics, 1989
The author proves that any smooth, compact, three dimensional CR manifold, X, which is pseudoconvex and of finite type, and on which \(\overline{\partial}_ b\) has closed range in \(L^ 2\) admits a CR embedding into some \({\mathbb{C}}^ n\). The author refers to the literature for the corresponding result in case X is strongly pseudoconvex, in this ...
openaire   +1 more source

A Cheeger-type Inequality for the Sub-Laplacian on Pseudo-Hermitian CR Manifolds

European Journal of Pure and Applied Mathematics
In this paper, we introduce a CR Cheeger constant and establish Cheeger-type and Buser-type inequalities for the first nonzero eigenvalue of the sub-Laplacian on compact strictly pseudoconvex pseudo-Hermitian CR manifolds.
Ali Ben Ahmed
semanticscholar   +1 more source

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