Results 31 to 40 of about 634,077 (306)
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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Relative Rigidity, Quasiconvexity and C-Complexes [PDF]
, 2008 We introduce and study the notion of relative rigidity for pairs $(X,\JJ)$ where 1) $X$ is a hyperbolic metric space and $\JJ$ a collection of quasiconvex sets 2) $X$ is a relatively hyperbolic group and $\JJ$ the collection of parabolics 3) $X$ is a ...
Mj, Mahan
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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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Hyperbolic ends with particles and grafting on singular surfaces [PDF]
, 2019 We prove that any 3-dimensional hyperbolic end with particles (cone singularities along infinite curves of anglesless than \pi) admits a unique foliation by constant Gauss curvature surfaces. Using a form of duality between hyperbolic ends with particles
Chen, Q., Schlenker, J.
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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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New Journal of Physics, 2018 The investigation of the hidden metric space behind complex network topologies is a fervid topic in current network science and the hyperbolic space is one of the most studied, because it seems associated to the structural organization of many real ...
Alessandro Muscoloni +1 more
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Characterization and optimization of satellite complex networks based on hyperbolic space
Digital Communications and NetworksIn recent years, the rapid advancement of mega-constellations in Low Earth Orbit (LEO) has led to the emergence of satellite communication networks characterized by a complex interplay between high- and low-altitude orbits and by unprecedented scale ...
Yuanzhi He +5 more
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Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
International Journal of Mathematics and Mathematical Sciences, 1988 It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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, 2012 We classify pseudo-Riemannian submersions with connected totally geodesic fibres from a real pseudo-hyperbolic space onto a pseudo-Riemannian manifold. Also, we obtain the classification of the pseudo-Riemannian submersions with (para-)complex connected ...
Baditoiu, Gabriel
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