Results 21 to 30 of about 82 (82)
Journal of the Mathematical Society of Japan, 1996 Let \(X\) be a compact \(CR\) manifold of dimension \(2n - 1\), \(n \geq 3\) and \((H,J)\) be the holomorphic tangent bundle of \(x\). A smooth \(S^1\)-action on \(X\) is said to be transversal holomorphic if it preserves \(H\) and commutes with \(J\), and the vector field which generates the action is transversal to \(H\) at all points of \(X ...
LUK, Hing Sun, YAU, Stephen S.-T.
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Embedded Three Dimensional CR Manifolds and the Non-Negativity of Paneitz Operators
, 2012 Let $Ω$ be a bounded strictly pseudoconvex domain in $C^2$ with a smooth, connected and compact boundary M and having a CR structure $J_0$ induced from $C^2$. Assume this CR structure has zero Webster torsion. Then if we deform the CR structure through real-analytic dependence on the deformation parameter and such that each deformed structure along the
Chanillo, Sagun +2 more
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Polynomially convex embeddings and CR singularities of real manifolds
33 pages, 1 ...
Gupta, Purvi, Shafikov, Rasul
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Invariants and Umbilical Points on Three Dimensional CR Manifolds embedded in $\mathbb C^2$
, 2016 We introduce a new sequence of CR invariant determinants on a three dimensional CR manifold $M$ embedded in $\mathbb C^2$. The lowest order invariant $\det A_3$ represents E. Cartan's 6th order invariant (the umbilical "tensor"), whose zero locus yields the set of umbilical points on $M$.
Ebenfelt, Peter, Zaitsev, Dmitry
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CR regular embeddings and immersions of 6-manifolds into complex 4-space
Proceedings of the American Mathematical Society, 2016 We provide necessary and sufficient conditions in terms of characteristic classes for a closed smooth orientable 6-manifold to admit a CR regular immersion/embedding into C
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Geometry of embedded CR manifolds
, 2020 The reader is introduced to the geometry of CR manifolds, which are real submanifolds of complex space with a complex structure on a subbundle of its tangent bundle. Explicit formulas for the geometrical aspects of CR(1,1) manifolds are given, including formulas for the Reeb vector field, the Tanaka-Webster connection and the pseudo-holomorphic ...
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Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
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Representation Learning for Fine-Grained Change Detection. [PDF]
Sensors (Basel), 2021 O'Mahony N +5 more
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A comprehensive review of machine learning algorithms and their application in geriatric medicine: present and future. [PDF]
Aging Clin Exp Res, 2023 Woodman RJ, Mangoni AA.
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Laser-Induced Breakdown Spectroscopy Combined with Nonlinear Manifold Learning for Improvement Aluminum Alloy Classification Accuracy. [PDF]
Sensors (Basel), 2022 Harefa E, Zhou W.
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