Results 1 to 10 of about 5,927 (180)
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
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Equivariant Kodaira embedding of CR manifolds with circle action [PDF]
Michigan Mathematical Journal, 2017 We consider a compact CR manifold with a transversal CR locally free circle action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fourier-Szeg\H{o} kernel of the CR sections in the high tensor powers admits a full ...
Hsiao, Chin-Yu +2 more
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G-Equivariant Embedding Theorems for CR Manifolds of High Codimension [PDF]
Michigan Mathematical Journal, 2022 Let $(X,T^{1,0}X)$ be a $(2n+1+d)$-dimensional compact CR manifold with codimension $d+1$, $d\geq1$, and let $G$ be a $d$-dimensional compact Lie group with CR action on $X$ and $T$ be a globally defined vector field on $X$ such that $\mathbb C TX=T^{1,0}X\oplus T^{0,1}X\oplus\mathbb C T\oplus\mathbb C\underline{\mathfrak{g}}$, where $\underline ...
Fritsch, Kevin +2 more
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Annali di Matematica Pura ed Applicata (1923 -), 2022 AbstractWe 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
Cowling, MG +3 more
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CR Embedded Submanifolds of CR Manifolds [PDF]
Memoirs of the American Mathematical
Society, 2019 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. In particular, we establish the subtle relationship between the submanifold and ambient standard tractor bundles, allowing us to relate the respective normal Cartan (or tractor) connections via a
Curry, Sean N., Gover, A. Rod
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Deformations and embeddings of three-dimensional strictly pseudoconvex CR manifolds
Mathematische Annalen, 2023 46 pages. Accepted version. Math. Ann. (2023). Section 3 has been substantially revised to streamline the presentation; a detailed proof of Theorem 3.1 was also added. Section 4.5 has been expanded and clarified.
Curry, Sean N., Ebenfelt, Peter
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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.
Marini S., Nacinovich M.
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Einstein's equations and the embedding of 3-dimensional CR manifolds [PDF]
Indiana University Mathematics Journal, 2008 We prove several theorems concerning the connection between the local CR embeddability of 3-dimensional CR manifolds, and the existence of algebraically special Maxwell and gravitational fields. We reduce the Einstein equations for spacetimes associated with such fields to a system of CR invariant equations on a 3-dimensional CR manifold defined by the
Hill, C. Denson +2 more
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Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds [PDF]
Mathematical Research Letters, 2017 45 pages; expanded version including background on Levi-flat manifolds and several comments on the nature of the projector \Pi_k; v.2 is a final update to agree with the published ...
Hsiao, Chin-Yu, Marinescu, George
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Tangent space estimation for smooth embeddings of Riemannian manifolds [PDF]
, 2012 Numerous dimensionality reduction problems in data analysis involve the recovery of low-dimensional models or the learning of manifolds underlying sets of data. Many manifold learning methods require the estimation of the tangent space of the manifold at
Frossard, Pascal +2 more
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