Averaging one-point hyperbolic-type metrics
نویسندگان
چکیده
منابع مشابه
Hyperbolic-type metrics
The article is a status report on the contemporary research of hyperbolic-type metrics, and considers progress in the study of the classes of isometryand bilipschitz mappings with respect to some of the presented metrics. Also, the Gromov hyperbolicity question is discussed.
متن کاملHyperbolic geometry for colour metrics.
It is well established from both colour difference and colour order perpectives that the colour space cannot be Euclidean. In spite of this, most colour spaces still in use today are Euclidean, and the best Euclidean colour metrics are performing comparably to state-of-the-art non-Euclidean metrics. In this paper, it is shown that a transformation from Euclidean to hyperbolic geometry (i.e., co...
متن کاملHyperbolic surfaces of $L_1$-2-type
In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-sqrt{1+r^2})times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.
متن کاملExact Moduli Space Metrics for Hyperbolic Vortices
Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N -vortices are derived. These submanifolds, denoted Σn,m, are spaces of Cn-invariant vortex configurations with n single vortices at the vertices of a regular polygon and m = N − n coincident vortices at the polygon’s centre. The geometric properties of Σn,m are investigated, and it is found that Σn,n−...
متن کاملSharp estimates for hyperbolic metrics and covering theorems of Landau type
In this paper we prove sharp covering theorems for nonconstant holomorphic functions f in the unit disk U. Theorem 1 asserts that if |f ′(0)| ≥ A|f(0)|, where A is a given number larger than 4, then f covers some annulus of the form r < |w| < Kr, where K = K(A) is a number depending on A. The theorem is sharp; extremals are furnished by universal covering maps from U onto the plane minus a doub...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2018
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14173