Results 41 to 50 of about 634,077 (306)
On the moduli space of quadruples of points in the boundary of complex hyperbolic space [PDF]
, 2008 We consider the space $$ \mathcal{M} $$ of ordered quadruples of distinct points in the boundary of complex hyperbolic n-space, $$ H_\mathbb{C}^n $$, up to its holomorphic isometry group PU(n, 1): One of the important problems in complex hyperbolic ...
H. Cunha, N. Gusevskii
semanticscholar +1 more source
A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space [PDF]
, 2010 We prove a Milnor-Wood inequality for representations of the fundamental group of a compact complex hyperbolic manifold in the group of isometries of quaternionic hyperbolic space.
Besse +12 more
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The complex hyperbolic geometry of the moduli space of cubic surfaces [PDF]
Journal of Algebraic Geometry, 2002 Recall that the moduli space of smooth (that is, stable) cubic curves is isomorphic to the quotient of the upper half plane by the group of fractional linear transformations with integer coefficients. We establish a similar result for stable cubic surfaces: the moduli space is biholomorphic to a quotient of the compex 4-ball by an explict arithmetic ...
Allcock, Daniel +2 more
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Homogeneous hypersurfaces in complex hyperbolic spaces [PDF]
Geometriae Dedicata, 2008 23 pages, 1 ...
Berndt, Jurgen, Díaz-Ramos, Jose Carlos
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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
doaj +1 more source
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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Geometry and topology of complex hyperbolic and CR-manifolds
, 1997 We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them surprisingly different from real hyperbolic manifolds with constant ...
Apanasov, Boris
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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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