Medial Axis and Singularities [0.03%]
中轴与奇点
Lev Birbrair,Maciej P Denkowski
Lev Birbrair
This paper is devoted to the study of the medial axes of sets definable in polynomially bounded o-minimal structures, i.e. the sets of points with more than one closest point with respect to the Euclidean distance. Our point of view is that...
Arkadiusz Lewandowski
Arkadiusz Lewandowski
We prove that given a family ( G t ) of strictly pseudoconvex domains varying in C 2 topology on domains, there exists a continuously varying family of peak functions h t , ζ for all G t at every ζ ∈ ∂ G t . ...
Tim Steger,Bartosz Trojan
Tim Steger
For the natural two-parameter filtration F λ : λ ∈ P on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on L p ( Ω 0 ) for p ∈ ( 1 , ∞...
A Characterization of Codimension One Collapse Under Bounded Curvature and Diameter [0.03%]
曲率和直径有界的 codimension one 情形的塌陷性质刻画
Saskia Roos
Saskia Roos
Let M ( n , D ) be the space of closed n-dimensional Riemannian manifolds (M, g) with diam ( M ) ≤ D and | sec M | ≤ 1 . In this paper we consider sequences ( M i , g i ) in M ( n , D ) converging in the Gromov-Hausdorff ...
Ivan Cheltsov
Ivan Cheltsov
We prove that 2 d , 2 d - 3 ( d - 1 ) 2 , 2 d - 1 d ( d - 1 ) , 2 d - 5 d 2 - 3 d + 1 and 2 d - 3 d ( d - 2 ) are the smallest log canonical thresholds of reduced plane curves of degree d ⩾ 3 , and we describe reduced plane...
Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below [0.03%]
具有下界Ricci曲率的流形的内在平坦和Gromov-Hausdorff收敛性
Rostislav Matveev,Jacobus W Portegies
Rostislav Matveev
We show that for a noncollapsing sequence of closed, connected, oriented Riemannian manifolds with Ricci curvature bounded below and diameter bounded above, Gromov-Hausdorff convergence agrees with intrinsic flat convergence. In particular,...
Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four [0.03%]
投影曲面上的规范理论和四维中的反自对偶爱因斯坦度量
Maciej Dunajski,Thomas Mettler
Maciej Dunajski
Given a projective structure on a surface N , we show how to canonically construct a neutral signature Einstein metric with non-zero scalar curvature as well as a symplectic form on the total space M of a certain rank 2 affine bundle M U...
Peter Pflug,Włodzimierz Zwonek
Peter Pflug
We investigate problems related with the existence of square integrable holomorphic functions on (unbounded) balanced domains. In particular, we solve the problem of Wiegerinck for balanced domains in dimension two. We also give a descripti...
Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity [0.03%]
带较低正则性的Gauss-Codazzi-Ricci方程的全局弱 rigidity及黎曼流形的等距嵌入
Gui-Qiang G Chen,Siran Li
Gui-Qiang G Chen
We are concerned with the global weak rigidity of the Gauss-Codazzi-Ricci (GCR) equations on Riemannian manifolds and the corresponding isometric immersions of Riemannian manifolds into the Euclidean spaces. We develop a unified intrinsic a...
Julius Ross,Michael Singer
Julius Ross
We study the asymptotic behaviour of the partial density function associated to sections of a positive hermitian line bundle that vanish to a particular order along a fixed divisor Y. Assuming the data in question is invariant under an S 1 ...