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.)
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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
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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.
Herrmann, Hendrik +2 more
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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.
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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
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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
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Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds [PDF]
Memoirs of the American Mathematical
Society, 2018 106 pages, to appear in the Memoirs of the American Mathematical ...
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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 p1(M) and its Euler characteristic χ(M) vanish, and has a CR regular embedding into ℂ3 if and only if in addition the second Stiefel–Whitney class w2(M) vanishes.
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Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying Interaction
, 2013 In this paper we consider lattice systems coupled by local interactions. We prove invariant manifold theorems for whiskered tori (we recall that whiskered tori are quasi-periodic solutions with exponentially contracting and expanding directions in the ...
Blazevski, Daniel, de la Llave, Rafael
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Equivariant embeddings of strongly pseudoconvex CR manifolds
, 2020 Ich untersuche CR Mannigfaltigkeiten mit eigentlichen, transversalen Gruppenwirkungen. Zuerst zeige ich, dass sich solche Mannigfaltigkeiten immer äquivariant in eine komplexe Mannigfaltigkeit mit holomorpher Gruppenwirkung einbetten lassen. Dies nutze ich, um zu beweisen, dass der Quotient nach der Wirkung immer die Struktur eines komplexen Raumes ...
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