Results 21 to 30 of about 171,326 (207)
Hyperbolic submanifolds of complex projective space [PDF]
Proceedings of the American Mathematical Society, 1969 In [1] Professor Kobayashi constructed an invariant pseudodistance dM on each complex manifold M. If the pseudo-distance dM is a true distance, the complex manifold is said to be hyperbolic. It is known (see [1]) that if M admits a hermitian metric of strongly negative curvature then M is hyperbolic.
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Polar actions on complex hyperbolic spaces [PDF]
Mathematische Zeitschrift, 2017 We classify polar actions on complex hyperbolic spaces up to orbit equivalence.
Díaz Ramos, José Carlos +2 more
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Groups Quasi-isometric to Complex Hyperbolic Space [PDF]
Transactions of the American Mathematical Society, 1996 The paper studies the problem: which groups are quasi-isometric to a given metric space. Here one takes the word metric on a finitely generated group, and a quasi-isometry between two metric spaces is a map whose image intersects every sufficiently large ball and which does not distort large scale distances by more than a bounded factor.
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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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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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Convexity on Complex Hyperbolic Space
, 2010 In a Riemannian manifold a regular convex domain is said to be $ $-convex if its normal curvature at each point is greater than or equal to $ $. In a Hadamard manifold, the asymptotic behaviour of the quotient $\vol( (t))/\vol(\partial (t))$ for a family of $ $-convex domains $ (t)$ expanding over the whole space has been studied and general ...
Abardia, Judit, Gallego, Eduardo
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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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Shapes of polyhedra and triangulations of the sphere [PDF]
, 1998 The space of shapes of a polyhedron with given total angles less than 2\pi at each of its n vertices has a Kaehler metric, locally isometric to complex hyperbolic space CH^{n-3}. The metric is not complete: collisions between vertices take place a finite
Deligne +5 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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The homogeneous geometries of complex hyperbolic space [PDF]
, 2021 We describe the holonomy algebras of all canonical connections and their action on complex hyperbolic spaces $\mathbb{C}\mathrm{H}(n)$ in all dimensions ($n\in\mathbb{N}$). This thorough investigation yields a formula for all Kahler homogeneous structures on complex hyperbolic spaces. Finally, we have related the belonging of the homogeneous structures
Carmona Jiménez, J. L. +1 more
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