Results 1 to 10 of about 6,129 (106)
CR embeddings of CR manifolds [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2022 We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type ( n , k ) to admit a local CR embedding into a CR manifold of type $$(n+\ell ,k-\ell )$$ ( n + ℓ , k
M. Cowling +3 more
semanticscholar +5 more sources
CR Embedded Submanifolds of CR Manifolds [PDF]
Memoirs of the American Mathematical
Society, 2015 We develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory.
Sean N. Curry, A. Gover
semanticscholar +4 more sources
Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2018 We define a class of compact homogeneous CR manifolds which are bases of Mostow fibrations having total spaces equal to their canonical complex realizations and Hermitian fibers. This is used to establish isomorphisms between their tangential Cauchy–Riemann cohomology groups and the corresponding Dolbeault cohomology groups of the embeddings.
S. Marini, M. Nacinovich
semanticscholar +4 more sources
Deformations and embeddings of three-dimensional strictly pseudoconvex CR manifolds
Mathematische Annalen, 2020 deformations of the CR structure of a compact strictly pseudoconvex hypersurface M in C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Sean N. Curry, P. Ebenfelt
semanticscholar +4 more sources
On the stability of equivariant embedding of compact CR manifolds with circle action [PDF]
Mathematische Zeitschrift, 2017 We prove the stability of the equivariant embedding of compact strictly pseudoconvex CR manifolds with transversal CR circle action under circle invariant perturbations of the CR structures.Comment: 21 pages, final ...
Hsiao, Chin-Yu +2 more
core +3 more sources
CR regular embeddings and immersions of compact orientable 4-manifolds into C3 [PDF]
International Journal of Mathematics, 2015 We show that a compact orientable 4-manifold M has a CR regular immersion into C3 if and only if both its first Pontryagin class and its Euler characteristic vanish, and has a CR regular embedding into C3 if and only if in addition the second Stiefel ...
Marko Slapar
semanticscholar +4 more sources
CR regular embeddings and immersions of 6-manifolds into complex 4-space
Proceedings of the American Mathematical Society, 2016 We provide necessary and sufficient conditions in terms of characteristic classes for a closed smooth orientable 6-manifold to admit a CR regular immersion/embedding into C 4 \mathbb {C}^4 .
Rafael Torres
semanticscholar +3 more sources
MathematicsThe product manifold S3×S3, which belongs to the homogenous six-dimensional nearly Kähler manifolds, admits two structures, the almost complex structure J and the almost product structure P.
Nataša Djurdjević
doaj +2 more sources
Szegő kernel expansion and equivariant embedding of CR manifolds with circle action
Annals of Global Analysis and Geometry, 2017 Let $X$ be a compact strongly pseudoconvex CR manifold with a transversal CR $S^1$-action. In this paper, we establish the asymptotic expansion of Szeg kernels of positive Fourier components and by using the asymptotics, we show that $X$ can be equivariant CR embedded into some $\mathbb C^N$ equipped with a simple $S^1$-action.
H. Herrmann, Chin-Yu Hsiao, Xiaoshan Li
semanticscholar +4 more sources
Equivariant Kodaira Embedding for CR Manifolds with Circle Action [PDF]
Michigan Mathematical Journal, 2021 40 pages. Corollary 1.6 in the first version is not correct. In this version, we corrected this mistake and added some references.
Hsiao, Chin-Yu +2 more
openaire +3 more sources