Results 241 to 250 of about 128,872 (280)
Some of the next articles are maybe not open access.
Advanced Materials Research, 2012
In this paper, we deal with a generalization of the Yamabe flow named conformal geometry flow. Firstly we derive a monotone formula of the Einstein-Hilbert functional under the conformal geometry flow. Then we prove the properties that the conformal geometry solitons and conformal geometry breather both have constant scalar curvature at each time by ...
Rong Rong Cao, Xiang Gao
openaire +1 more source
In this paper, we deal with a generalization of the Yamabe flow named conformal geometry flow. Firstly we derive a monotone formula of the Einstein-Hilbert functional under the conformal geometry flow. Then we prove the properties that the conformal geometry solitons and conformal geometry breather both have constant scalar curvature at each time by ...
Rong Rong Cao, Xiang Gao
openaire +1 more source
Surfaces in Conformal Geometry
Annals of Global Analysis and Geometry, 2000This short paper is a very readable overview on some aspects of conformal surface geometry. Particular emphasis is put on (constrained) Willmore surfaces, a topic that the author crucially contributed to (as the name indicates) after corresponding work on their local geometry by Blaschke and Thomsen [cf.
openaire +2 more sources
Fundamentals of Computational Conformal Geometry
Mathematics in Computer Science, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, David Xianfeng +2 more
openaire +1 more source
2013
This thesis introduces fundamental equations and numerical methods for manipulating surfaces in three dimensions via conformal transformations. Conformal transformations are valuable in applications because they naturally preserve the integrity of geometric data.
openaire +1 more source
This thesis introduces fundamental equations and numerical methods for manipulating surfaces in three dimensions via conformal transformations. Conformal transformations are valuable in applications because they naturally preserve the integrity of geometric data.
openaire +1 more source
Geometry of conformal mechanics
Journal of Physics A: Mathematical and General, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivanov, E., Krivonos, S., Leviant, V.
openaire +1 more source
Conformal Geometry on a Surface
The Annals of Mathematics, 1938This paper generalizes to the case of curved surfaces certain theorems of plane conformal geometry due to Kasner.2 The results obtained are: expressions for the invariants of horn angles of first and second order contact and the general right angle, and the first few conformal symmetry formulas.
openaire +2 more sources
Quasi-Conformal Geometry and Hyperbolic Geometry
2002These notes deal with connections between quasi-conformal and hyperbolic geometry. In particular, we show how tools in geometric function theory like Poincare inequalities or Loewner spaces can be used to study problems in hyperbolic geometry, for instance the problem of rigidity of quasi-isometries in Gromov hyperbolic spaces.
Marc Bourdon, Hervé Pajot
openaire +1 more source
Geometry of Discrete Conformal Structures
Calculus of Variations and Partial Differential EquationsThis paper continues an investigation into conformal structure on surfaces with boundaries that was initiated by \textit{X. Xu} and \textit{C. Zheng} [``Discrete conformal structures on surfaces with boundary (I) -- Classification'', Preprint, \url{arXiv:2401.05062}].
openaire +2 more sources