Results 21 to 30 of about 11,192 (262)
The complex hyperbolic geometry of the moduli space of cubic surfaces [PDF]
Journal of Algebraic Geometry, 2002 We prove that the moduli space of semistable cubic surfaces over the complex numbers is biholomorphic to the Satake compactification of the quotient of the four-ball by the projective unitary group of the standard Hermitian form of signature
Allcock, Daniel +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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Application of an integral formula to CR-submanifolds of complex hyperbolic space
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to study n-dimensional compact CR-submanifolds of complex hyperbolic space CH(n+p)/2, and especially to characterize geodesic hypersphere in CH(n+1)/2 by an integral formula.
Jin Suk Pak, Hyang Sook Kim
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Representation in Fréchet Spaces of Hyperbolic Theta and Integral Operator Bases for Polynomials [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchIn this study, we present a novel definition for hyperbolic Theta operator bases (HTOBs)and hyperbolic integral operator bases (HIOBs) within the context of complex calculus. Weemploy the constructed HTOBs and HIOBs on a specific base of polynomials (BPs)
Gamal Hassan
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The Busemann–Petty problem in the complex hyperbolic space [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2013 AbstractThe Busemann–Petty problem asks whether origin-symmetric convex bodies in ℝn with smaller central hyperplane sections necessarily have smaller volume. The answer is affirmative if n ≤ 4 and negative if n ≥ 5. We study this problem in the complex hyperbolic n-space ℍnℂ and prove that the answer is affirmative for n ≤ 2 and negative for n ≥ 3.
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Navigable maps of structural brain networks across species.
PLoS Computational Biology, 2020 Connectomes are spatially embedded networks whose architecture has been shaped by physical constraints and communication needs throughout evolution. Using a decentralized navigation protocol, we investigate the relationship between the structure of the ...
Antoine Allard, M Ángeles Serrano
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Routing Strategy of Integrated Satellite-Terrestrial Network Based on Hyperbolic Geometry
IEEE Access, 2020 The integrated satellite-terrestrial network has the characteristics of large scale, complex, high dynamic and heterogeneousness. Adopting traditional routing methods in the integrated satellite-terrestrial network will cause problems of poor scalability
Sai Lv +9 more
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Results in Physics, 2021 This present manuscript studies a nonlinear hyperbolic model in fractional form which generalizes the nonlinear Klein–Gordon system. The equation under investigation includes the presence of a time-fractional operator of the Caputo type.
J.E. Macías-Díaz
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