On the Equations of Conformally-Projective Harmonic Mappings
Result 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.
Keywords
conformally-projective harmonic mappingsdifferential equations of Cauchy typeequidistant spaces
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/61989592:15310/07:00004534
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the Equations of Conformally-Projective Harmonic Mappings
Original language 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.
Czech name
Rovnice konformně-projektivních harmonických zobrazení.
Czech description
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.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/05/2707: Computer-assisted research in Riemannian and affine geometry
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
AIP conference proceedings
ISSN
0094-243X
e-ISSN
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Volume of the periodical
Neuveden
Issue of the periodical within the volume
956
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
141-148
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2007