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
fDate :
26 June-3 July 2004
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;
Conference_Titel :
Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
Print_ISBN :
0-7803-8383-4
DOI :
10.1109/KORUS.2004.1555577
