The study of the structure of n-dimensional complex space C^n and the different objects in this space is very important, both for analysis of properties of C^n and for investigations of functions of n complex variables. In this article, real and complex planes and hyperplanes in the space C^n are considered. In particular, equations for complex line and real two-dimensional plane are constructed. The following statement is proved: any two distinct complex lines can have at most one common point in the space C^n(n/geq2). One example show that a similar statement is not true for two distinct real two-dimensional planes in C^n.
@article{7513,
title = {Planos e hiperplanos reais e complexos - doi: 10.5269/bspm.v21i1-2.7513},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v21i1-2.7513},
language = {EN},
url = {http://dml.mathdoc.fr/item/7513}
}
Bourchtein, Ludmila. Planos e hiperplanos reais e complexos - doi: 10.5269/bspm.v21i1-2.7513. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v21i1-2.7513. http://gdmltest.u-ga.fr/item/7513/