Planos e hiperplanos reais e complexos - doi: 10.5269/bspm.v21i1-2.7513

Résumé

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.