Results 11 to 20 of about 6,228 (205)
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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A stability theorem for projective CR manifolds [PDF]
Complex Variables and Elliptic Equations, 2020 We consider smooth deformations of the CR structure of a smooth 2-pseudoconcave compact CR submanifold of a reduced complex analytic variety outside the intersection with the support D of a Cartier divisor of a positive line bundle We show that nearby ...
Judith Brinkschulte +2 more
semanticscholar +1 more source
Equivariant embeddings of strongly pseudoconvex Cauchy–Riemann manifolds [PDF]
Manuscripta mathematica, 2020 Let X be a CR manifold with transversal, proper CR action of a Lie group G. We show that the quotient X/G is a complex space such that the quotient map is a CR map. Moreover the quotient is universal, i.e.
K. Fritsch, P. Heinzner
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Mostow’s fibration for canonical embeddings of compact homogeneous $CR$ manifolds [PDF]
Rendiconti del Seminario Matematico della Universita di Padova, 2016 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.
S. Marini, M. Nacinovich
semanticscholar +1 more source
Morse Inequalities and Embeddings for CR Manifolds with Circle Action
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2020 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 [24], [23], [21], [20] and [25]. Furthermore, in the last section we will give an explicit
H. Herrmann, Xiaoshan Li
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Polynomially convex embeddings of odd-dimensional closed manifolds [PDF]
, 2020 It is shown that any smooth closed orientable manifold of dimension 2k+1{2k+1}, k≥2{k\geq 2}, admits a smooth polynomially convex embedding into ℂ3k{\mathbb{C}^{3k}}.
Purvi Gupta, R. Shafikov
semanticscholar +1 more source
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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Paley–Wiener–Schwartz theorems on quadratic CR manifolds [PDF]
Mathematische Zeitschrift, 2021 Given a quadratic CR manifold $${\mathcal {M}}$$ M embedded in a complex space, we study Paley–Wiener–Schwartz theorems for spaces of Schwartz functions and tempered distributions on $${\mathcal {M}}$$ M .
Mattia Calzi
semanticscholar +1 more source
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
core +6 more sources