DocumentCode
445741
Title
About mapping of fields of two-dimensional planes L21 and L22 determined on manifold V1,2n+1 in En+1 (n ≥ 4) invariantly
Author
Ivlev, E.T. ; Luchinin, A.A.
Author_Institution
Dept. of Higher Math., Tomsk Polytech. Univ., Russia
Volume
2
fYear
2004
fDate
26 June-3 July 2004
Firstpage
159
Abstract
In (n+1)-dimensional Euclidean space En+1 (n ≥ 4) the two-dimensional manifold V1,2n+1 straight lines is studied. Fields of two-dimensional planes are connected with manifold V1,2n+1 invariantly. One have introduced geometrically invariant points and 1-families of two-dimensional. Two mappings of 2-planes L21, and L22 each other are considered. It is found out, when the functions given these mappings satisfy to conditions Cauchy-Riemann (d´Alambert-Euler).
Keywords
geometry; nonlinear differential equations; partial differential equations; (n+1)-dimensional Euclidean space; Cauchy-Riemann equations; geometrically invariant points; straight lines; Harmonic analysis; Mathematics;
fLanguage
English
Publisher
ieee
Conference_Titel
Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
Print_ISBN
0-7803-8383-4
Type
conf
DOI
10.1109/KORUS.2004.1555577
Filename
1555577
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