Results 51 to 60 of about 71,118 (212)
Handle additions producing essential surfaces
, 2006 We construct a small, hyperbolic 3-manifold $M$ such that, for any integer $g\geq 2$, there are infinitely many separating slopes $r$ in $\partial M$ so that $M(r)$, the 3-manifold obtained by attaching a 2-handle to $M$ along $r$, is hyperbolic and ...
Qiu, Ruifeng, Wang, Shicheng
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Embedding arithmetic hyperbolic manifolds
, 2018 We prove that any arithmetic hyperbolic $n$-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic $(n+1)$-manifold or its universal $\mathrm{mod}~2$ Abelian cover can.Comment: 20 pages; revised version, typos ...
Kolpakov, Alexander +2 more
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Hyperbolic Ricci solitons on perfect fluid spacetimes
AIMS MathematicsIn the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Shahroud Azami +3 more
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Small knots and large handle additions
, 2004 We construct a hyperbolic 3-manifold $M$ (with $\partial M$ totally geodesic) which contains no essential closed surfaces, but for any even integer $g> 0$ there are infinitely many separating slopes $r$ on $\partial M$ so that $M[r]$, the 3-manifold ...
Qiu, Ruifeng, Wang, Shicheng
core +1 more source
Symmetries of Hyperbolic 4-Manifolds [PDF]
International Mathematics Research Notices, 2015 In this paper, for each finite group $G$, we construct explicitly a non-compact complete finite-volume arithmetic hyperbolic $4$-manifold $M$ such that $\mathrm{Isom}\,M \cong G$, or $\mathrm{Isom}^{+}\,M \cong G$. In order to do so, we use essentially the geometry of Coxeter polytopes in the hyperbolic $4$-space, on one hand, and the combinatorics of ...
Kolpakov, Alexander, SLAVICH, LEONE
openaire +4 more sources
The Optimization of Transfer Trajectory for Small Amplitude Halo Orbits
Measurement + Control, 2008 Since the halo orbits in the vicinity of the collinear libration points have a strong hyperbolic character, it is possible to use their stable manifold for the transfer from the Earth.
LI Ming-Tao, Zheng Jian-Hua
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Journal of High Energy Physics, 2017 We define a holographic dual to the Donaldson-Witten topological twist of N=2 $$ \mathcal{N}=2 $$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to N=4 $$ \mathcal{N}=4 $$ gauged ...
Pietro Benetti Genolini +2 more
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Commensurators of Cusped Hyperbolic Manifolds [PDF]
Experimental Mathematics, 2008 This paper describes a general algorithm for finding the commensurator of a non-arithmetic cusped hyperbolic manifold, and for deciding when two such manifolds are commensurable. The method is based on some elementary observations regarding horosphere packings and canonical cell decompositions. For example, we use this to find the commensurators of all
Goodman, O, Heard, D, Hodgson, C
openaire +4 more sources
Stability of complex hyperbolic space under curvature-normalized Ricci flow
, 2012 Using the maximal regularity theory for quasilinear parabolic systems, we prove two stability results of complex hyperbolic space under the curvature-normalized Ricci flow in complex dimensions two and higher.
C. Guenther +21 more
core +2 more sources
Persistence of invariant manifolds for perturbations of semiflows with symmetry
Electronic Journal of Differential Equations, 1999 Consider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group.
Chongchun Zeng
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