Publication detail

On the Equations of Conformally-Projective Harmonic Mappings

HINTERLEITNER, I. MIKEŠ, J.

Czech title

Rovnice konformně-projektivních harmonických zobrazení.

English title

On the Equations of Conformally-Projective Harmonic Mappings

Type

journal article in Web of Science

Language

en

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.

Czech abstract

Studuje se kompozice konformních a geodetických difeomorfizmů, které jsou harmonické (konformně-projektivně harmonická zobrazení). Analyzují se rovnice těchto zobrazení. Nalezeny fundamentální rovnice těchto zobrazení ve tvaru soustavy diferenciálních rovnic Cauchyovského typu. Řešení této soustavy závisí na ne více než 1/2 (n+1)(n+2)-(n-2) nezávislých parametrů.

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 in English

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

RIV year

2007

Released

20.12.2007

Publisher

American Institute of Physics

ISSN

0094-243X

Journal

AIP conference proceedings

Number

956

Pages from–to

141–148

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",
  month="December",
  pages="141--148",
  publisher="American Institute of Physics",
  issn="0094-243X"
}