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It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to g...
Flows of constant mean curvature tori in the 3-sphere: The equivariant case     curvature tori  the 3-sphere       font style='font-size:12px;'> 2010/11/18
We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the m...
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
A-posteriori probability (APP) receivers operating over multiple-input, multiple-output channels provide enhanced performance at the cost of increased complexity. However, employing full APP processi...
We explicitly give factorization formulas for higher depth determinants, which are defined via derivatives of the spectral zeta function at non-positive integer points, of Laplacians on the n-sphere i...
The Schrödinger-Poisson system on the sphere     The Schrö  dinger-Poisson system  the sphere       font style='font-size:12px;'> 2010/11/11
We study the Schr\"odinger-Poisson system on the unit sphere $\SS^2$ of $\RR^3$, modeling the quantum transport of charged particles confined on a sphere by an external potential. Our first results c...
Two classes of slant surfaces in nearly Kahler six sphere      slant surfaces  K¨ahler angle  octonions  six sphere       font style='font-size:12px;'> 2010/12/14
In this paper we find examples of slant surfaces in the nearly K¨ahler six sphere. First, we characterize two-dimensional small and great spheres which are slant.
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Rieman-nian geometry. We compute estimations of the exponential map wh...
This paper proposes a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere, an approximation scheme that combines (loca...
Equivalence problem for the orthogonal webs on the sphere      Equivalence problem  orthogonal webs  sphere        font style='font-size:12px;'> 2010/12/9
We solve the equivalence problem for the orthogonally separable webs on the three-sphere under the action of the isometry group. This continues a classical project initiated by Olevsky in which he sol...
In the rst paper of this series, \Electrodynamics and the Gauss Linking Integral on the 3-sphere and in hyperbolic 3-space," we developed a steady-state version of classical electrodynamics in these ...
Decomposing diffeomorphisms of the sphere      Decomposing diffeomorphisms  sphere        font style='font-size:12px;'> 2010/12/9
1.1. Background. A bi-Lipschitz homeomorphism f : X → Y between metric spaces is a mapping f such that f and f−1 satisfy a uniform Lipschitz condition.
A (--86)-Sphere in the K3 Surface     K3 Surface  self-intersection number [S]       font style='font-size:12px;'> 2010/3/5
Consider the self-intersection number [S].[S] of a 2-dimensional sphere S embedded into a K3 surface. Since a K3 surface is spin, [S].[S] is even and by Gauge theoretical arguments [S].[S]\le 0. No ot...
In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher orde...
We study the Fock description of a quantum free field on the three-sphere with a mass that depends explicitly on time, also interpretable as an explicitly time dependent quadratic potential. We show t...

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