Published November 14, 2007 | Version v1
Journal article

On the Equations of Conformally-Projective Harmonic Mappings

  • 1. Dept. of Math., FSI VUT Brno, Strojnicka 10, 616 69 Brno (Czech Republic)
  • 2. Dept. of Algebra and Geometry, Fac. Sci., Palacky Univ. Tomkova 40, 779 00 Olomouc (Czech Republic)

Description

In this paper we study compositions of conformal and geodesic diffeomorphisms, which are at the same time harmonic mappings (conformally-projective harmonic mappings). The equations of conformally-projective harmonic mappings are shown. We obtained the fundamental equations of these mappings in form of a system of differential equations of Cauchy type. Solutions of this system depend on at most (1/2)(n+1)(n+2)-(n-2) independent parameters

Additional details

Identifiers

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
956
Journal Issue
1
Journal Page Range
p. 141-148
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
26. International workshop on geometrical methods in physics
Dates
1-7 Jul 2007
Place
Bialowieza (Poland)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39059282
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CONFORMAL INVARIANCE; DIFFERENTIAL EQUATIONS; DIFFERENTIAL GEOMETRY; GEODESICS; MAPPING; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY
Descriptors DEC
EQUATIONS; FIELD THEORIES; GEOMETRY; INVARIANCE PRINCIPLES; MATHEMATICS

Optional Information

Notes
(c) 2007 American Institute of Physics