N ov 2 00 6 ONE DIMENSIONAL CONFORMAL METRIC FLOWS
نویسنده
چکیده
In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [9]. We prove the global existence and convergence of the flows, as well as the exponential convergence of the metrics under these flows.
منابع مشابه
ar X iv : 0 71 0 . 43 17 v 1 [ m at h . A P ] 2 3 O ct 2 00 7 ONE DIMENSIONAL CONFORMAL METRIC FLOW II
In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [8]. In this part we mainly focus on evolution equations involving fourth order derivatives. The global existence and exponential convergence of metrics for the 1-Q and 4-Q flows are obtained.
متن کاملOn Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric
Let be an n-dimensional Riemannian manifold, and be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation induces an infinitesimal homothetic transformation on . Furthermore, the correspondence gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on onto the Lie algebra of infinitesimal ...
متن کاملar X iv : g r - qc / 9 61 10 54 v 1 2 2 N ov 1 99 6 New Symmetries in Two - Dimensional Dilaton Gravity 1
We present three types of non-conformal symmetries for a wide class of 2D dilaton-gravity models. For the particular CGHS, or string-inspired model a linear combination of these symmetries is conformal and turns out to be the well-known symmetry which allows to construct the exactly solvable semiclassical RST and BPP models. We show that one of these non-conformal symmetries can be converted in...
متن کاملar X iv : m at h / 06 11 11 6 v 1 [ m at h . PR ] 5 N ov 2 00 6 SLE 6 and CLE 6 from Critical Percolation ∗
We review some of the recent progress on the scaling limit of two-dimensional critical percolation; in particular, the convergence of the exploration path to chordal SLE6 and the “full” scaling limit of cluster interface loops. The results given here on the full scaling limit and its conformal invariance extend those presented previously. For site percolation on the triangular lattice, the resu...
متن کاملN ov 2 00 2 Combinatorial Ricci Flows on Surfaces
We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a consequence, a new proof of Thurston's existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings. §1. Introduction 1.1. For a compact surface wi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006