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Multiscale Representations for Manifold-Valued Data
Symmetric Space Lie Group Two-Scale Refi nement Scheme
2015/8/21
We describe multiscale representations for data observed on equispaced grids and taking
values in manifolds such as: the sphere S2, the special orthogonal group SO(3), the positive
definite ma...
Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes
spectral problem Riemannian manifold consisting
2010/11/22
The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $\Delta\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depending on a small ...
On trajectories of vortices in the compressible fluid on a two-dimensional manifold
the compressible fluid two-dimensional manifold
2010/11/17
For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving ...
Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds
Any 3-manifold 1-dominates finitely geometric 3-manifolds
2010/10/29
In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds