2024 Pseudo-hermitian manifolds

Pseudo-hermitian manifolds

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WebWe rst introduced some basic materials in a pseudo-Hermitian (2n + 1)-manifold (see [5], [6] for more details). Let (M;˘) be a (2n + 1)-dimensional, orientable, con-tact manifold with contract structure ˘. A CR structure compatible with ˘ is an endomorphism J: ˘ ! ˘ such that J2 = 1. We also assume that J satis es the WebDec 1, 2015 · A Sasakian manifold is a strictly pseudo-convex CR manifold whose characteristic flow is isometric (or equivalently, vanishing the pseudo-Hermitian torsion). From (8) it follows at once that a Sasakian manifold is also determined by the condition (9) ( ∇ X φ ) Y = g ( X , Y ) ξ − η ( Y ) X for all vector fields X and Y on the manifold.

arXiv:1210.4046v1 [math.CV] 15 Oct 2012

Webpseudo-Hermitian manifold, see Section 2 ), where (H,J) is a CR structure of type (n,1) and θis a pseudo-Hermitian structure with positive Levi form, let PC(θ) denote the set of … WebNov 6, 2024 · In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from pseudo-Hermitian manifolds into Riemannian manifolds or … fnb borrowers training

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http://emis.maths.adelaide.edu.au/journals/BJGA/v21n1/B21-1ha-b22.pdf WebFeb 2, 2015 · in a three-dimensional contact sub-Riemannian manifold and prove that their characteristic curves are of class C 2 . This regularity result also holds for critical points … WebSep 9, 2024 · In terms of some sub-Laplacian or Hessian type Bochner formulas, and comparison theorems in the pseudo-Hermitian version, we are able to establish several Schwarz type results for both the CR... fnb bonus

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WebMar 1, 2013 · In this paper, we discuss the heat flow of a pseudo-harmonic map from a closed pseudo-Hermitian manifold to a Riemannian manifold with non-positive sectional curvature, and prove the... WebJan 5, 2024 · A pseudo-Hermitian manifold is called a Sasakian manifold if \tau \equiv 0. Associated to a pseudo-Hermitian manifold, there are three classes of generalized … fnb bond cancellation contact detailsWebApr 6, 2024 · Request PDF On Apr 6, 2024, Kyle Broder and others published On the Gauduchon Curvature of Hermitian Manifolds Find, read and cite all the research you need on ResearchGate fnb boom street branch code

"WebNov 5, 2009 · Legendre curves contact pseudo-Hermitian CR-manifold pseudo-Hermitian minimal pseudo-Hermitian mean curvature vector field. MSC classification. Secondary: 58E20: Harmonic maps , etc. Type Research Article. Information Bulletin of the Australian Mathematical Society, Volume 81, Issue 1, February 2010, pp. 156 - 164. " - Pseudo-hermitian manifolds

Pseudo-hermitian manifolds

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WebOct 7, 2024 · For instance, we show that any holomorphic map from a compact pseudo-Hermitian manifold with nonnegative (resp. positive) pseudo-Hermitian sectional … Web4 Solutions on the tangent bundle of an almost para-complex manifold 5 5 Solutions on almost para-hermitian manifolds 9 6 Para-pluriharmonic maps from almost para-complex manifolds into pseudo-Riemannian manifolds 14 7 Related para-pluriharmonic and harmonic maps 17 7.1 The classifying map of a at nearly para-K ahler manifold . . . . . . . . . . 17

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WebWe show under certain generic conditions that F satisfies a complete system of finite order. We use a method of prolongation of the tangential Cauchy-Riemann equations and … WebAug 22, 2014 · In this paper, we rstly study dierentiable functions on M, where M is a pseudo-umbilical CR-submanifold of an almost Hermitian manifold, then give a theorem which concern about geodesic character of M, and extend Bejancu and Chen B.Y.'s conclusions.

WebJul 7, 2016 · We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous … Webpseudo-Hermitian structure on M4n or shortly a (H,G)-structure on M4n. The manifold (M,H,G) is called an almost hypercomplex pseudo-Hermitian manifold or shortly an almost (H,G)-manifold 6. The basic purpose of the recent paper is to construct explicit examples of the (H,G)-manifolds of the lowest dimension at n = 1 and to characterize them.

WebNow, pseudo horizontal weak conformality of ϕ : M −→ (N,J,h) will mean: (1.1) [dϕ dϕ∗,J] = 0 The geometric meaning of (1.1) will become more transparent if we remark that the diﬀerential of a submersion ϕ from a Riemannian manifold (M,g) into a Hermitian manifold (N,J,h) induces an almost complex structure on the horizontal WebJan 4, 2013 · Analytic and geometric problems in sub-riemannian manifolds, Carnot groups, and pseudo-hermitian manifolds. Geometric control theory, Curvature in metric and length spaces, Geometric group theory, Harmonic Analysis. Potential theory, Mass transportation problems, Quasiconformal and quasiregular mappings. Quasiconformal geometry,

WebIn this paper we shall study the limit sets of groups acting on the boundary of the visibility manifolds. As an application, we study the developing maps of compact spherical CR manifolds.

http://emis.maths.adelaide.edu.au/journals/BJGA/v21n1/B21-1ha-b22.pdf fnb borrowersWebFor an almost pseudo-Hermitian manifold, pseudo-Chern classes are defined on its complexified tangent bundle with the pseudo-Hermitian structure as represented by certain ad(U(p, q))-invariant forms on the man- ifold. green team crmWebA pseudo-Hermitian manifold, which is an odd-dimensional analogue of Hermitian manifolds, is a CR manifold M endowed with a pseudo-Hermitian structure θ. The pseudo-Hermitian structure θ determines uniquely a global nowhere zero vector ﬁeld ξ and it, combining with the complex structure J, induces a Riemannian metric gθ on M too. green team contractorsWebJun 9, 2016 · for any X,Y ∈(M).An almost complex manifold(M,ϕ)with an anti-Hermitian metric is referred to as an almost anti-Hermitian manifold.Structures of this kind have also been studied under the name:Almost complex structures with pure(or B-)metric.An anti-K¨ahler(K¨ahler-Norden)manifold can be defined as a triple(M,g,ϕ)which consists of a … green team competitionWebThe form h α is a complex-valued hermitian form associated to α. ... On abstract CR manifolds, of strongly pseudo-convex type, the Levi form gives rise to a pseudo-Hermitian metric. The metric is only defined for the holomorphic tangent vectors and so is degenerate. One can then define a connection and torsion and related curvature tensors ... fnb book for passportWebAug 19, 2024 · The locally symmetric manifolds have been studied by different differential geometry through various aproaches and they extended semisymmetric manifolds by [2, … fnb bop codesWebMay 1, 2024 · Acknowledgements. The work described in this note was done during and shortly after the workshop Analysis and geometry on pseudo-Hermitian manifolds held at the American Institute of Mathematics (AIM) and organized by Sorin Dragomir, Howard Jacobowitz, and Paul Yang in November 2024. The style of AIM workshops is to break … green team cleaning llc