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Modified gravity approach based on a preferred time foliation
Modified gravity approach based preferred foliation
2011/10/14
We propose, in a heuristic way, a relativistic modified gravity model as an alternative to particle dark matter at galactic scales. The model is based on a postulated preferred time foliation describe...
Uniqueness of the Foliation of Constant Mean Curvature Spheres in Asymptotically Flat 3-Manifolds
Uniqueness Foliation of Constant Mean Curvature Spheres Asymptotically Flat 3-Manifolds
2011/2/21
In this paper I study the constant mean curvature surface in asymp-totically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptot...
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder
Lee-Yang zeros DHL D rational dynamics I. Foliation of the physical cylinder
2010/12/10
In a classical work of the 1950’s, Lee and Yang proved that thezeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of these zeros is physically...
On the spectral geometry of a Riemannian Legendre foliation
spectral geometry Riemannian Legendre foliation
2010/12/8
We obtain geometric characterizations of isospectral minimal Riemannian Legendre foliations on compact Sasakian manifolds of constant '-sectional curvature.
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
group foliation method functional separation of variable nonlinear diffusion
equation symmetry group
2007/8/15
2007Vol.47No.2pp.193-199DOI:
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
HU Jia-Yi,1,2,3 QU Chang-Zheng,1,2 and YIN Hui4
1 ...
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
symmetry group group foliation method nonlinear
wave equation functional separation of variables
2007/8/15
2005Vol.44No.4pp.577-582DOI:
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
QU Chang-Zheng and ZHANG Shun-Li
Center f...
Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus
Solid Torus Volume-Minimizing
2010/3/4
The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations wi...