Results 1 to 10 of about 82 (82)
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
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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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Morse Inequalities and Embeddings for CR Manifolds with Circle Action [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2020 Summary: In this paper, we would like to make a report on Morse inequalities and embeddings for CR manifolds with transversal CR circle action. The results are contained in [\textit{C.-Y. Hsiao} et al., Math. Z. 284, No. 1--2, 441--468 (2016, Zbl 1352.32013); Asian J. Math. 22, No.
Herrmann, Hendrik, Li, Xiaoshan
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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. We define a normal tractor bundle in the ambient standard tractor bundle along the submanifold and show that the orthogonal complement of this bundle is not canonically isomorphic to the standard
Curry, Sean N., Gover, A. Rod
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Szegő kernels and equivariant embedding theorems for CR manifolds
Mathematical Research Letters, 2022 34 ...
Herrmann, Hendrik +2 more
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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, o 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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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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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.
Hsiao, Chin-Yu +2 more
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