The Invariant Distance in the Theory of Pseudo-Conformal Transformations and the Lu Qikeng Conjecture

1969 ◽  
Vol 22 (2) ◽  
pp. 305 ◽  
Author(s):  
M. Skwarczynski
Keyword(s):  
Conformal Transformations ◽  
Invariant Distance

scholarly journals On an invariant distance induced by the Szegő Kernel

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
Steven G. Krantz ◽  
Paweł M. Wójcicki
Keyword(s):  
Szegö Kernel ◽  
Basic Properties ◽  
Szegő Kernel ◽  
Invariant Distance ◽  
Szego Kernel ◽  
The Relationship

AbstractIn this paper we introduce a new distance by means of the so-called Szegő kernel and examine some basic properties and its relationship with the so-called Skwarczyński distance. We also examine the relationship between this distance, and the so-called Bergman distance and Szegő distance.

scholarly journals Approach to the analysis and synthesis of cylindrical metasurfaces with noncircular cross sections based on conformal transformations

2020 ◽  
Vol 102 (24) ◽  
Author(s):  
Gengyu Xu ◽  
George V. Eleftheriades ◽  
Sean V. Hum
Keyword(s):  
Cross Sections ◽  
Conformal Transformations ◽  
Analysis And Synthesis

scholarly journals Conformal mapping of the Misner–Sharp mass from gravitational collapse

2016 ◽  
Vol 25 (07) ◽  
pp. 1650081 ◽  
Author(s):  
Fayçal Hammad
Keyword(s):  
Conformal Mapping ◽  
Gravitational Collapse ◽  
Conformal Transformation ◽  
Conformal Mappings ◽  
Conformal Transformations ◽  
Theories Of Gravity ◽  
Definition Of ◽  
Geometric Definition

The conformal transformation of the Misner–Sharp mass is reexamined. It has recently been found that this mass does not transform like usual masses do under conformal mappings of spacetime. We show that when it comes to conformal transformations, the widely used geometric definition of the Misner–Sharp mass is fundamentally different from the original conception of the latter. Indeed, when working within the full hydrodynamic setup that gave rise to that mass, i.e. the physics of gravitational collapse, the familiar conformal transformation of a usual mass is recovered. The case of scalar–tensor theories of gravity is also examined.

scholarly journals Conformal Transformations and Two-Dimensional Field Theory

1976 ◽  
Vol 55 (6) ◽  
pp. 1981-1997 ◽  
Author(s):  
K. Itabashi
Keyword(s):  
Field Theory ◽  
Conformal Transformations ◽  
Two Dimensional

scholarly journals The Scalar Curvature of a Riemannian Almost Paracomplex Manifold and Its Conformal Transformations

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1379
Author(s):  
Vladimir Rovenski ◽  
Josef Mikeš ◽  
Sergey Stepanov
Keyword(s):  
Riemannian Manifold ◽  
Scalar Curvature ◽  
Conformal Transformations ◽  
Structural Group

A Riemannian almost paracomplex manifold is a 2n-dimensional Riemannian manifold (M,g), whose structural group O(2n,R) is reduced to the form O(n,R)×O(n,R). We define the scalar curvature π of this manifold and consider relationships between π and the scalar curvature s of the metric g and its conformal transformations.

Problems of Plane Elasticity for Reinforced Boundaries

1955 ◽  
Vol 22 (2) ◽  
pp. 249-254
Author(s):  
J. R. M. Radok
Keyword(s):  
Plane Elasticity ◽  
Conformal Transformations ◽  
Thin Sheets ◽  
General Method

Abstract Based on N. I. Muskhelishvili’s approach to problems of plane elasticity, a general method has been deduced for the solution of problems of reinforced cutouts in infinitely thin sheets. As an illustration, the circular reinforced hole has been treated in detail and the results have been related to those obtained experimentally and theoretically by other authors. The solution for other shapes of cutouts will be greatly simplified, since full use may be made of the theory of conformal transformations.

scholarly journals Spacetime colour reconnection in Herwig 7

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Johannes Bellm ◽  
Cody B Duncan ◽  
Stefan Gieseke ◽  
Miroslav Myska ◽  
Andrzej Siódmok
Keyword(s):  
Monte Carlo ◽  
Reasonable Agreement ◽  
Distance Measure ◽  
Monte Carlo Event ◽  
Event Generator ◽  
Monte Carlo Event Generator ◽  
Colour Reconnection ◽  
Invariant Distance

AbstractWe present a model for generating spacetime coordinates in the Monte Carlo event generator Herwig 7, and perform colour reconnection by minimizing a boost-invariant distance measure of the system. We compare the model to a series of soft physics observables. We find reasonable agreement with the data, suggesting that pp-collider colour reconnection may be able to be applied in larger systems.

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