Results 31 to 40 of about 171,326 (207)
Characterization and optimization of satellite complex networks based on hyperbolic space
In 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
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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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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Navigable maps of structural brain networks across species.
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
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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Six-Dimensional Space with Symmetric Signature and Some Properties of Elementary Particles
The six-dimensional pseudo-Euclidean space E3,3 with signature (3,3) is proposed as a model of real physical space at the subparticle scale. The conserved quantum characteristics of elementary particles, such as spin, isospin, electric and baryon charges,
Nikolay Popov, Ivan Matveev
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Slant submanifolds of complex projective and complex hyperbolic spaces [PDF]
The authors prove that a complex projective plane and a complex hyperbolic plane cannot admit proper slant minimal surfaces. They also study some special slant surfaces explicitly and consider the rigidity of slant immersions of a real hyperbolic plane into a complex hyperbolic plane.
Chen, Bang-Yen, Tazawa, Yoshihiko
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Geometry of the Complex of Curves I: Hyperbolicity
The Complex of Curves on a Surface is a simplicial complex whose vertices are homotopy classes of simple closed curves, and whose simplices are sets of homotopy classes which can be realized disjointly.
Masur, Howard A., Minsky, Yair N.
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Application of an integral formula to CR-submanifolds of complex hyperbolic space
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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A geometric model of linear fractional transformations
A model of linear fractional transformations of the complex plane in the form of points of the complex three-dimensional projective space without a linear “forbidden” quadric is presented.
S.V. Matsievsky
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