Results 11 to 20 of about 11,192 (262)
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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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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On the Hyperbolicity and the Schottky Property of Complex Spaces [PDF]
Proceedings of the American Mathematical Society, 1994 The purpose of this paper is to study the hyperbolicity and the tautness of spaces that have the Schottky property. Moreover, the hyperbolicity of compact complex spaces is characterized by the classical theorem of Bloch.
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Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2015 We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Buyalo Sergei, Schroeder Viktor
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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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Convexity on Complex Hyperbolic Space
, 2010 In a Riemannian manifold a regular convex domain is said to be $λ$-convex if its normal curvature at each point is greater than or equal to $λ$. In a Hadamard manifold, the asymptotic behaviour of the quotient $\vol(Ω(t))/\vol(\partialΩ(t))$ for a family of $λ$-convex domains $Ω(t)$ expanding over the whole space has been studied and general bounds for
Abardia, Judit, Gallego, Eduardo
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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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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 $\tildeγ(t)$ 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 $\tildeγ(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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Hypersurfaces in the complex hyperbolic space
Matemática Contemporânea, 1991 Announcement of results contained in the authors' paper [Trans. Am. Math. Soc. 339, No. 2, 685-702 (1993; Zbl 0797.53051); corrected in ibid. 347, No. 8, 3177 (1995; Zbl 0842.53040)].
Susana Fornari +2 more
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