Results 101 to 110 of about 71,118 (212)

Lorentz-regularized interpretable VAE for multi-scale single-cell transcriptomic and epigenomic embeddings

Frontiers in Genetics
BackgroundSingle-cell multi-omics technologies capture cellular heterogeneity at unprecedented resolution, yet dimensionality reduction methods face a fundamental local–global trade-off: approaches optimized for local neighborhood preservation distort ...
Zeyu Fu, Jiawei Fu, Chunlin Chen, Keyang Zhang, Song Wang   +4 more
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Physical Measures for Certain Partially Hyperbolic Attractors on 3-Manifolds [PDF]

, 2015
Ricardo Bortolotti
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Cones Embedded in Hyperbolic Manifolds

Journal of Differential Geometry, 2001
In was shown by \textit{D. Gabai, R. Meyerhoff} and \textit{N. Thurston} [Ann. Math. (2) 157, 335--431 (2003; Zbl 1052.57019)], that every closed orientable hyperbolic 3-manifold except Vol3 contains an embedded tube of radius at least \(0.52959\ldots\) about the shortest geodesic, and if the shortest geodesic has length at most \(1.0595\ldots\), there
openaire   +2 more sources

Stability of the PMT and RPI for asymptotically hyperbolic manifolds foliated by IMCF [PDF]

, 2018
Brian Allen
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Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type

Symmetry, Integrability and Geometry: Methods and Applications, 2013
The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied.
Peter J. Vassiliou
doaj   +1 more source

Reidemeister torsion, hyperbolic three-manifolds, and character varieties [PDF]

, 2015
Joan Porti
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Almost complex structures on hyperbolic manifolds [PDF]

, 2023
D. Kotschick
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Fractal Geometry on Hyperbolic Manifolds

, 2006
In this survey we give a report on some recent results obtained in the studies of hyperbolic manifolds by means of fractal geometry. Emphasis has been put on results derived in the quantitative and qualitative fractal analysis of long term geodesic dynamics on hyperbolic manifolds.
openaire   +2 more sources

Partially hyperbolic compact complex manifolds

Revista Matemática Iberoamericana
We propose and investigate two types, the latter with two variants, of notions of partial hyperbolicity accounting for several classes of compact complex manifolds behaving hyperbolically in certain directions, defined by a vector subbundle of the holomorphic tangent bundle, but not necessarily in the other directions.
Kasuya, Hisashi, Popovici, Dan
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The Green's Functions of the Boundaries at Infinity of the Hyperbolic 3-Manifolds [PDF]

, 2009
Majid Heydarpour
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