Publication result detail

On the Equations of Conformally-Projective Harmonic Mappings

HINTERLEITNER, I.; MIKEŠ, J.

Original Title

On the Equations of Conformally-Projective Harmonic Mappings

English Title

On the Equations of Conformally-Projective Harmonic Mappings

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

conformally-projective harmonic mappings, differential equations of Cauchy type, equidistant spaces

Key words in English

conformally-projective harmonic mappings, differential equations of Cauchy type, equidistant spaces

Authors

HINTERLEITNER, I.; MIKEŠ, J.

Released

20.12.2007

Publisher

American Institute of Physics

ISBN

0094-243X

Periodical

AIP conference proceedings

Number

956

State

United States of America

Pages from

141

Pages to

148

Pages count

8

BibTex

@article{BUT45015,
  author="Irena {Hinterleitner} and Josef {Mikeš}",
  title="On the Equations of Conformally-Projective Harmonic Mappings",
  journal="AIP conference proceedings",
  year="2007",
  number="956",
  pages="141--148",
  issn="0094-243X"
}