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29th Annual Computational Neuroscience Meeting: CNS*2020. [PDF]

BMC Neurosci, 2020
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Dynamics of Local Automorphisms of Embedded CR-Manifolds

Mathematical Notes, 2004
A theorem of Wong states that the ball is the unique strictly pseudoconvex bounded domain having a noncompact automorphism group. The authors suggest two local versions for hypersurfaces such that an orbit accumulates at a strictly pseudo convex domain at the boundary.
Kim, KT, Schmalz, G
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Embeddings for 3-dimensional CR-manifolds

2000
We consider the problem of projectively embedding strictly pseudoconcave surfaces, X_ containing a positive divisor, Z and affinely embedding its 3-dimensional, strictly pseudoconvex boundary, \( M = - bX\_ \) We show that embeddability of M in affine space is equivalent to the embeddability of X_ or of appropriate neighborhoods of Z inside X_ in ...
Charles L. Epstein, Gennadi M. Henkin
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CR Embeddings and Kähler Manifolds with Pseudo-Conformally Flat Curvature Tensors

The Journal of Geometric Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Xiaojun, Ji, Shanyu, Lee, Brandon
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Laufer's vanishing theorem for embedded CR manifolds

Mathematische Zeitschrift, 2002
It was proved by Laufer that the Dolbeault cohomology groups are either zero or infinite dimensional for any open subset of a Stein manifold. In this paper, the author proves an analogue for CR manifolds. Namely, he shows that the cohomology groups of the Cauchy-Riemann complexes are either zero or infinite dimensional for a sufficiently small open ...
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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--
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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, Yau, Stephen S.-T., Yu, Yung   +2 more
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