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Rotational Linear Weingarten Surfaces into the Euclidean Sphere
Rotational surfaces Linear Weingarten surfaces
2011/2/24
The aim of this paper is to present a complete description of all linear rotational Weingarten surface into the Euclidean sphere S3. These surfaces are characterized by a linear relation aH+bK = c, wh...
The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
Fischer decomposition Clifford analysis Hodge-de Rham equation spherical monogenics
2011/2/25
The classical Fischer decomposition of spinor-valued polynomials is a key result on solutions of the Dirac equation in the Euclidean space Rm.As is well-known, it can be understood as an irreducible d...
This is a survey on nondiscrete euclidean buildings, with a focus on metric properties of these spaces.
A finite set X in some Euclidean space Rn is called Ramsey if for any k there is a d such that whenever Rd is k-coloured it contains a monochromatic set congruent to X. This notion was introduced by E...
Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces
Mean curvature Reilly inequality Laplacian Spectrum pinching results
2010/12/3
We prove that hypersurfaces of Rn+1 which are almost extremal for the
Reilly inequality on 1 and have Lp-bounded mean curvature (p > n) are Hausdorff close to a sphere, have almost constant mean cur...
On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings
local structure CAT$(\kappa)$ spaces euclidean buildings
2010/12/7
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...
Generalized triangle inequalities in thick Euclidean buildings of rank 2
Generalized triangle inequalities thick Euclidean buildings of rank 2
2010/12/1
We give the generalized triangle inequalities which determine the possible -valued side lengths of n-gons in thick Euclidean buildings of rank 2.
Equivariant Euler characteristics and sheaf resolvents
Equivariant Euler characteristics sheaf resolvents
2010/11/29
For certain tame abelian covers of arithmetic surfaces X/Y we obtain striking formulas, involving a quadratic form derived from intersection numbers/
Concerning the Strauss conjecture on asymptotically Euclidean manifolds
Strauss conjecture KSS estimates weighted Strichartz estimates
2010/11/30
In this paper we verify the Strauss conjecture for semilinear wave equations on asymptotically Euclidean manifolds when n = 3, 4, we also give an almost sharp life span for the subcritical case 2 p ...
On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
triangles determined Euclidean plane associated bilinear operators discrete geometry
2010/12/6
We prove that if the Hausdorff dimension of the set E R2 is greater than 74 , then the three-dimensional Lebesgue measure of the set of triangles determined by E is positive. We
establish this fact...
The norm of the Euler class
norm Euler class
2010/12/6
We prove that the norm of the Euler class E for flat vector bundles is 2−n (in even dimension n, since it vanishes in odd dimension). This shows that the Sullivan–Smillie bound considered by Gro...
Efficient Sampling of Band-limited Signals from Sine Wave Crossings
Efficient Sampling Band-limited Signals Sine Wave Crossings
2010/12/15
This paper presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave.
Approximation, Numerical Differentiation and Integration Based on Taylor Polynomial
Degree of approximation Taylor polynomial $P_n$-simple functionals least concave majorant of $omega(f,cdot)$
2010/1/22
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the remaind...
非欧空间中的广义度量方程及其应用
非欧空间 单形 基本图形 广义度量方程
2008/11/4
本文改进了杨世国关于非欧空间中基本图形的度量方程,建立一个一般意义下的、应用更为方便的广义度量方程,作为其初步应用,导出了非欧空间中两个单形之间的一些有趣的几何关系.
Tur醤 Inequalities and Subtraction-free Expressions
Turán inequalities Subtraction-free expressions Riemann zeta function Zero-free region
2010/1/22
By using subtraction-free expressions, we are able to provide a new proof of the Turán inequalities for the Taylor coefficients of a real entire function when the zeros belong to a specified sector.
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