On Riemannian manifolds endowed with a locally conformal cosymplectic structure
International Journal of Mathematics and Mathematical Sciences, 2005 We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai +2 more
doaj +1 more source
Statistical properties of topological Collet-Eckmann maps [PDF]
, 2006 We study geometric and statistical properties of complex rational maps satisfying the Topological Collet-Eckmann Condition. We show that every such a rational map possesses a unique conformal probability measure of minimal exponent, and that this measure
Przytycki, Feliks, Rivera-Letelier, Juan
core +3 more sources
Boundary conformal anomalies on hyperbolic spaces and Euclidean balls
Journal of High Energy Physics, 2017 We compute conformal anomalies for conformal field theories with free conformal scalars and massless spin 1/2 fields in hyperbolic space ℍ d and in the ball Bd $$ {\mathbb{B}}^d $$, for 2≤d≤7. These spaces are related by a conformal transformation.
Diego Rodriguez-Gomez, Jorge G. Russo
doaj +1 more source
Laplacian transfer across a rough interface: Numerical resolution in the conformal plane
, 2005 We use a conformal mapping technique to study the Laplacian transfer across a rough interface. Natural Dirichlet or Von Neumann boundary condition are simply read by the conformal map.
Damien Vandembroucq +9 more
core +2 more sources
Approximation of conformal mappings using conformally equivalent triangular lattices [PDF]
, 2015 Consider discrete conformal maps defined on the basis of two conformally equivalent triangle meshes, that is edge lengths are related by scale factors associated to the vertices.
AI Bobenko +12 more
core +2 more sources
Rigidity Characterizations of Conformal Solitons
MathematicsWe study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj +1 more source
How round is a protein? Exploring protein structures for globularity using conformal mapping.
Frontiers in Molecular Biosciences, 2014 We present a new algorithm that automatically computes a measure of the geometric difference between the surface of a protein and a round sphere. The algorithm takes as input two triangulated genus zero surfaces representing the protein and the round ...
Joel eHass, Patrice eKoehl
doaj +1 more source
Scalar Invariants of surfaces in conformal 3-sphere via Minkowski spacetime
, 2016 For a surface in 3-sphere, by identifying the conformal round 3-sphere as the projectivized positive light cone in Minkowski 5-spacetime, we use the conformal Gauss map and the conformal transform to construct the associate homogeneous 4-surface in ...
Qing, Jie +2 more
core +1 more source
Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation [PDF]
, 1996 By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations.
Goldberg J. +4 more
core +2 more sources
New examples of surfaces in H³ with conformal normal Gauss map
Anais da Academia Brasileira de Ciências, 2006 In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties.Neste trabalho, damos alguns exemplos de superfícies no espaço hiperbólico de dimensão ...
Shuguo Shi
doaj +1 more source