id: 02360916
dt: j
an: 2004e.04226
au: Bourchtein, Ludmilla
ti: Real and complex planes and hyperplanes. (Planos e hiperplanos reais e
complexos.)
so: Bol. Soc. Parana. Mat. (3) 21, No. 1-2, 137-143 (2003).
py: 2003
pu: Sociedade Paranaense de MatemĂˇtica, MaringĂˇ
la: PT
cc: I85
ut: complex spaces
ci:
li: doi:10.5269/bspm.v21i1-2.7513
ab: 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 $\ge$ 2). One example shows that
a similar statement is not true for two distinct real two-dimensional
planes in $C^n$.
rv: