Preprints

The main goal of this page is to inform the participants of the Network about the recent results obtained by differents nodes of the Network. It allows quickly exchange by the information and get an easier ascces to new achievements and ideas. Please, be active and sent the pdf file of your preprints to  irina.markina@uib.no in order the information will be updated on time


Research group "Geometric Analysis and Mathematical Physics", Copenhagen, Denmark

Christian Berg

1.  A Pick function related to the sequence of volumes of the unit ball in n-space*
2. 
The smallest eigenvalue of Hankel matrices

Henrik L. Pedersen

1.  A Pick function related to the sequence of volumes of the unit ball in n-space*

Research group from University of Bergen, Norway

Pavel Gumenyuk

1. Matching univalent functions and conformal welding
2. Geometry behind chordal Loewner chains
3. Loewner chains in the unit disk


Erlend Grong

1. Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover
2. Matching univalent functions and conformal welding
3. An intrinsic formulation of the rolling manifolds problem

Anna Korolko

1. Nonholonomic Lorentzian geometry on some H-type groups
2. Semi-Riemannian geometry with nonholonomic constraints
3. Geodesics on H-type quaternion groups with sub-Lorentzian metric and their physical interpretation

Irina Markina

1. Virasoro algebra and dynamics in the space of univalent functions
2. Virasoro algebra in Loewner-Kufarev contour dynamics
3. Modified Action and differential operators on the 3_D sub-Riemannian sphere
4. Sub-Riemannian geodesics on the 3-D sphere
5. Nonholonomic Lorentzian geometry on some H-type groups
6. Semi-Riemannian geometry with nonholonomic constraints
7. Geodesics on H-type quaternion groups with sub-Lorentzian metric and their physical interpretation
8. Sub-Riemannian geometry of parallelizable spheres
9. An intrinsic formulation of the rolling manifolds problem
10. Sub-Riemannian geodesics and heat operator on odd dimensional spheres

Alexander Vasiliev

1. Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover
2. Virasoro algebra in Loewner-Kufarev contour dynamics
3. Virasoro algebra and dynamics in the space of univalent functions
4. From the Hele-Shaw Experiment to Integrable Systems: A Historical Overview
5. Modified Action and differential operators on the 3-D sub-Riemannian sphere
6. Sub-Riemannian geodesics on the 3-D sphere
7. Singular and tangent slit solutions to the L ̈owner equation
8. Matching univalent functions and conformal welding
9. Singular solutions to the Loewner equation
10.  Non-slit and singular solutions to the Loewner equation

Mauricio Godoy Molina

1. Sub-Riemannian geometry of parallelizable spheres
2. An intrinsic formulation of the rolling manifolds problem
3. Sub-Riemannian geodesics and heat operator on odd dimensional spheres

￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿ ￿￿￿ ￿￿￿￿ ￿￿￿￿￿￿￿￿ ￿￿ ￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿ ￿￿￿￿ ￿￿￿￿￿￿￿￿ ￿￿ ￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿ ￿￿￿ ￿￿￿￿ ￿￿￿￿￿￿￿￿ ￿￿ ￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿ ￿￿￿￿ ￿￿￿￿￿￿￿￿ ￿￿ ￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿￿￿ ￿￿￿ ￿￿￿￿ ￿￿￿￿￿￿￿￿ ￿￿ ￿￿￿ ￿￿￿￿￿￿￿￿￿￿￿ ￿￿￿￿￿￿￿

Georgy Ivanov

1. Non-slit and singular solutions to the Loewner equation

Research group from Royal Technology Institute, Sweden

Bjorn Gustafsson

1. Szegö coordinates, quadrature domains, and double quadrature domains
2. Critical points of Green's function and geometric function theory

Research group from University of Turku, Finland

Matti Vuorinen

1.  Stagnation zones for A-harmonic functions on canonical domains
2.  Region of variability for certain classes of Univalent functions
satisfying differential inequalties

3.  Region of variability for spiral-like functions with respect to a boundary point
4.  On quasiconformal maps with idenity boundary values
5.  Starlikeness of the Gaussian hypergeometric functions
6.  On moduli of rings and quadrilaterals: algorithms and experiments
7.  Functional inequalities for modified Bessel functions
8.  Distortion of two point normalized quasiconformal mappings
9.  Uniform continuity and
φ - uniform domains
10.  On Mori's theorem for quasiconformal maps in the n-space

Riku Klen

1. Close-to-convexity of quasihyperbolic and j-metric balls
2.  Distortion of two point normalized quasiconformal mappings
3.  Uniform continuity and
φ - uniform domains
4.  On hyperbolic type metrics

Barkat Ali Bhayo

1.  On Mori's theorem for quasiconformal maps in the n-space

Research group from University of Turku, Finland

Peter Alexander Hästö

1.  Starlikeness of the Gaussian hypergeometric functions


Copyright © 2008 Alexander Vasiliev. All rights reserved