Results 21 to 30 of about 6,228 (205)
Symplectic embeddings of polydisks [PDF]
, 2007 If P is a polydisk with radii R_1 < ... < R_n and P' is a polydisk with radii R'_1 < ... < R'_n, then we construct a symplectic embedding from P into P' provided that C(n) R_1 < R'_1 and C(n) R_1 ... R_n < C(n) R'_1 ... R'_n.
Guth, Larry
core +1 more source
Generic immersions and totally real embeddings [PDF]
International Journal of Mathematics, 2018 We show that, for a closed orientable [Formula: see text]-manifold, with [Formula: see text] not congruent to 3 modulo 4, the existence of a CR-regular embedding into complex [Formula: see text]-space ensures the existence of a totally real embedding ...
Naohiko Kasuya, Masamichi Takase
semanticscholar +1 more source
Embeddings of compact Sasakian manifolds [PDF]
, 2006 Let M be a compact Sasakian manifold. We show that M admits a CR- embedding into a Sasakian manifold dieomorphic to a sphere, and this embedding is compatible with the respective Reeb fields. We argue that a stronger embedding theorem cannot be obtained.
L. Ornea, M. Verbitsky
semanticscholar +1 more source
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
Journal of Geometric Analysis, 2022 We prove a Bochner–Kodaira–Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Chin-Yu Hsiao, G. Marinescu, Hua Wang
semanticscholar +1 more source
Examples of non-trivial contact mapping classes for overtwisted contact manifolds in all dimensions [PDF]
, 2019 We construct (infinitely many) examples in all dimensions of contactomorphisms of closed overtwisted contact manifolds that are smoothly isotopic but not contact-isotopic to the identity.Comment: v3: Considerable improvement in both content and form ...
Gironella, Fabio
core +4 more sources
Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]
, 2002 We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
Pinto, A. A., Rand, D. A. (David A.)
core +1 more source
Orbits of real forms, Matsuki duality and CR-cohomology [PDF]
, 2016 We discuss the relationship between groups of CR cohomology of some compact homogeneous CR manifolds and the corresponding Dolbeault cohomology groups of their canonical embeddings.
S. Marini, M. Nacinovich
semanticscholar +1 more source
Compactness of the complex Green operator on non-pseudoconvex CR manifolds
Communications on Pure and Applied Analysis, 2021 In this paper, we investigate the compactness theory of the complex Green operator on smooth, embedded, orientable CR manifolds of hypersurface type that satisfy the weak \begin{document}$ Y(q) $\end{document} condition.
Joel Coacalle, A. Raich
semanticscholar +1 more source
The range of the tangential Cauchy–Riemann system to a CR embedded manifold [PDF]
Inventiones mathematicae, 2012 We prove that every compact, pseudoconvex, orientable, CR manifold of $\C^n$, bounds a complex manifold in the $C^\infty$ sense. In particular, the tangential Cauchy-Riemann system has closed range.
openaire +4 more sources
Most real analytic Cauchy-Riemann manifolds are nonalgebraizable
, 2004 We give a very simple argument to the effect that most germs of generic real analytic Cauchy-Riemann manifolds of positive CR dimension are not holomorphically embeddable into any generic real algebraic CR manifold of the same real codimension in a ...
Baouendi +10 more
core +3 more sources