Contributions in Geometry


 

Welcome and thank you for your visit.


Themes. 


1°Axiomatic definition of equipollence.

 

2° About mappings that preserve alignment.

 

3° On maximal sub-groups of the group of positive isometries.


4° Fixed point of a group of rotations.

 

5° About similarities of Euclidean spaces. (Mappings that preserve circles or spheres).

 

6° Mappings that preserve a given angle.


7° Some characterizations of similarities.

 



The original versions of articles 3° and 5° were published in the RMS ( Revue de Mathématiques Spéciales) :Number 9-10. May-June 1999 and number 7. March 1991 (Vuibert).


(2° and 6° are not translated yet from the french version.)



Author:

Driss Abouabdillah,

morocco