Results 81 to 90 of about 71,118 (212)
On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 × M_1 × ... × M_n, where M_i are Einstein spaces (i ≥ 1).
Vladimir D. Ivashchuk +1 more
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Complex hierarchical structures in single-cell genomics data unveiled by deep hyperbolic manifold learning. [PDF]
Genome Res, 2023 Tian T +4 more
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Ends of Hyperbolic 3-Manifolds [PDF]
Journal of the American Mathematical Society, 1993 Let N = H 3 / Γ N = {{\mathbf {H}}^3}/\Gamma be a hyperbolic 3 3 -manifold which is homeomorphic to the interior of a compact 3 3 -manifold.
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Tubes in complex hyperbolic manifolds
Transactions of the American Mathematical SocietyWe prove a tubular neighborhood theorem for an embedded complex geodesic in a complex hyperbolic 2-manifold where the width of the tube depends only on the Euler characteristic χ \chi of the embedded complex geodesic. We give an explicit estimate for this width. We supply two applications of the tubular neighborhood theorem. The first
Basmajian, Ara, Kim, Youngju
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Harmonic-hyperbolic geometric flow
Electronic Journal of Differential Equations, 2017 In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time.
Shahroud Azami
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Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we investigate the problem of existence and asymptotic behavior of the solutions for the nonlinear boundary value problem \begin{eqnarray*} \epsilon y''+ky=f(t,y),\quad t\in\langle a,b \rangle, \quad k>0,\quad ...
Robert Vrabel
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Geometric characterizations of asymptotically hyperbolic Riemannian 3-manifolds by the existence of a suitable CMC-foliation [PDF]
, 2017 Christopher Nerz
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Hyperbolic three-manifolds that embed geodesically
, 2016 We prove that every complete finite-volume hyperbolic 3-manifold $M$ that is tessellated into right-angled regular polyhedra (dodecahedra or ideal octahedra) embeds geodesically in a complete finite-volume connected orientable hyperbolic 4-manifold $W ...
Martelli, Bruno
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