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Doubly-Weighted Pseudo-Almost Periodic Functions
pseudo almost periodic weight doubly-weighted pseudo-almost periodic
2011/1/21
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new conce...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Four-vector vs. four-scalar representation of the Dirac wave function
Four-vector four-scalar representation Dirac wave function
2011/3/2
In a Minkowski spacetime, one may transform the Dirac wave function under the spin group, as one transforms coordinates under the Poincar´e group.
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Existence and approximation of probability measure solutions to models of collective behaviors
Existence approximation of probability measure models of collective behaviors
2011/1/20
In this paper we consider first order differential models of collective behaviors of groups
of agents based on the mass conservation equation. Models are formulated taking the spatial
distribution o...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
Neighbourhoods and isotopies of knots in contact 3-manifolds
Neighbourhoods isotopies of knots contact 3-manifolds
2011/1/19
We prove a neighbourhood theorem for arbitrary knots in contact 3-manifolds. As an application we show that two topologically isotopic Legendrian knots in a contact 3-manifold become Legendrian isotop...
Perfect nonlinear functions from a finite group G to another one H are those functions f : G → H such that for all nonzero ∈ G, the derivative d f : x 7→f( x)f(x)−1 is balanced.
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Improved Approximation for the Directed Spanner Problem
Approximation Directed Spanner Problem
2011/3/3
We prove that the size of the sparsest directed k-spanner of a graph can be approximated in polynomial time to within a factor of ˜O(√n), for all k ≥ 3. This improves the ˜O(n2/3)-
approxim...
Prolongation on regular infinitesimal flag manifolds
Overdetermined systems prolongation filtered manifolds weighted jet bundles
2011/1/19
Regular infinitesimal flag structures are geometric structures, which occur as underlying structures of parabolic geometries. Among these structures we have for instance conformal structures, contact ...
Geometry of CR submanifolds of maximal CR dimension in complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/24
On real hypersurfaces in complex space forms many results are proven.In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dime...
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via ...
Some completely monotonic functions involving the polygamma functions
completely monotonic function polygamma functions
2011/1/17
Motivated by existing results, we present some completely monotonic functions involv-ing the polygamma functions.