Results 11 to 20 of about 171,326 (207)
Harmonic Analysis on Quantum Complex Hyperbolic Spaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order $q$-difference operator, whose eigenfunctions are related to the Al-Salam-Chihara polynomials. We prove a Plancherel type theorem for it.
Bershtein, Olga, Kolisnyk, Ye.
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Commuting isometries of the complex hyperbolic space [PDF]
Proceedings of the American Mathematical Society, 2011 LetHCnH_{\mathbb {C}}^ndenote the complex hyperbolic space of dimensionnn. The groupU(n,1)U(n,1)acts as the group of isometries ofHCnH_{\mathbb {C}}^n. In this paper we investigate when two isometries of the complex hyperbolic space commute. Along the way we determine the centralizers.
Cao, Wensheng, Gongopadhyay, Krishnendu
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An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach [PDF]
Mathematics Interdisciplinary Research, 2016 The aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. In [1], Ungar and Chen showed that the algebra of the group SL(2, C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing ...
Mahfouz Rostamzadeh +1 more
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M-hyperbolic real subsets of complex spaces [PDF]
Pacific Journal of Mathematics, 1996 Let \(M\) be a complex space and \(V\) a subset of \(M\). The authors introduce a pseudodistance \(k_{V,M}\) on \(V\) which is an analog of the Kobayashi pseudodistance using holomorphic maps from the unit disk into \(M\) sending the open interval \((-1,1)\) into \(V\). They show that \(k_{V,M}\) decreases under a certain class of maps.
Gigante, Giuliana +2 more
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
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Community Division Algorithm by Minimum Based on Hyperbolic Space Embedding [PDF]
Jisuanji gongcheng, 2020 The distribution of real complex network nodes obeys power laws,and the hyperbolic geometry can fully represent such characteristics.On this basis,this paper proposes a community division algorithm based on hyperbolic space embedding and minumun ...
XIE Jing, YI Shuwen, ZHANG Yi
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Calabi Product Lagrangian Immersions in Complex Projective Space and Complex Hyperbolic Space [PDF]
Results in Mathematics, 2011 Starting from two Lagrangian immersions and a Legendre curve $\tilde (t)$ in $\mathbb{S}^3(1)$ (or in $\mathbb{H}_1^3(1)$), it is possible to construct a new Lagrangian immersion in $\mathbb{CP}^n$ (or in $\mathbb{CH}^n$), which is called a warped product Lagrangian immersion. When $\tilde (t)=(r_1e^{i(\frac{r_2}{r_1}at)}, r_2e^{i(- \frac{r_1}{r_2}at)
Li, Haizhong, Wang, Xianfeng
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Hierarchically hyperbolic spaces, I: Curve complexes for cubical groups [PDF]
Geometry & Topology, 2017 In the context of CAT(0) cubical groups, we develop an analogue of the theory of curve complexes and subsurface projections. The role of the subsurfaces is played by a collection of convex subcomplexes called a \emph{factor system}, and the role of the curve graph is played by the \emph{contact graph}.
Behrstock, Jason +2 more
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Projective structures, grafting, and measured laminations [PDF]
, 2007 We show that grafting any fixed hyperbolic surface defines a homeomorphism from the space of measured laminations to Teichmuller space, complementing a result of Scannell-Wolf on grafting by a fixed lamination.
Bers +29 more
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STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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