Geodesic
Equivariant maps between certain $G$-spaces with $G=O( n-1,1)$.
Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 555-560.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this note, there are determined all biscalars of a system of $s\le n$ linearly independent contravariant vectors in $n$-dimensional pseudo-Euclidean geometry of index one. The problem is resolved by finding a general solution of the functional equation $F(A{\underset{1}{\rightarrow }u},A {\underset{2}{\rightarrow }u},\dots ,A{\underset{s}{\rightarrow }u}) =( \text{sign}( \det A)) F ({\underset{1}{\rightarrow }u},{\underset{2}{\rightarrow }u},\dots ,{\underset{s}{\rightarrow }u}) $ for an arbitrary pseudo-orthogonal matrix $A$ of index one and the given vectors ${\underset{1}{\rightarrow }u}, {\underset{2}{\rightarrow }u},\dots ,{\underset{s}{\rightarrow }u}$.
DOI : 10.21136/MB.2001.134200
Classification : 53A55
Keywords: $G$-space; equivariant map; vector; scalar; biscalar 
@article{10_21136_MB_2001_134200,
     author = {Misiak, Aleksander and Stasiak, Eugeniusz},
     title = {Equivariant maps between certain $G$-spaces with~$G=O( n-1,1)$.},
     journal = {Mathematica Bohemica},
     pages = {555--560},
     publisher = {mathdoc},
     volume = {126},
     number = {3},
     year = {2001},
     doi = {10.21136/MB.2001.134200},
     mrnumber = {1970258},
     zbl = {1031.53031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134200/}
}
TY  - JOUR
AU  - Misiak, Aleksander
AU  - Stasiak, Eugeniusz
TI  - Equivariant maps between certain $G$-spaces with $G=O( n-1,1)$.
JO  - Mathematica Bohemica
PY  - 2001
SP  - 555
EP  - 560
VL  - 126
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134200/
DO  - 10.21136/MB.2001.134200
LA  - en
ID  - 10_21136_MB_2001_134200
ER  - 
%0 Journal Article
%A Misiak, Aleksander
%A Stasiak, Eugeniusz
%T Equivariant maps between certain $G$-spaces with $G=O( n-1,1)$.
%J Mathematica Bohemica
%D 2001
%P 555-560
%V 126
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134200/
%R 10.21136/MB.2001.134200
%G en
%F 10_21136_MB_2001_134200
Misiak, Aleksander; Stasiak, Eugeniusz. Equivariant maps between certain $G$-spaces with $G=O( n-1,1)$.. Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 555-560. doi : 10.21136/MB.2001.134200. http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134200/

Cité par Sources :