Geodesic
Normal Families of Functions and Groups of Pseudoconformal Diffeomorphisms of Quaternion and Octonion Variables
Contemporary Mathematics. Fundamental Directions, Functional analysis, Tome 18 (2006), pp. 101-164

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is devoted to the specific class of pseudoconformal mappings of quaternion and octonion variables. Normal families of such functions are defined and investigated. Four criteria of a family to be normal are proved. Then groups of pseudoconformal diffeomorphisms of quaternion and octonion manifolds are investigated. It is proved that they are finite-dimensional Lie groups for compact manifolds. Their examples are given. Many characteristic features are found in comparison with commutatiive geometry over $\mathbf R$ or $\mathbf C$. 
@article{CMFD_2006_18_a1,
     author = {S. V. Lyudkovskii},
     title = {Normal {Families} of {Functions} and {Groups} of {Pseudoconformal} {Diffeomorphisms} of {Quaternion} and {Octonion} {Variables}},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {101--164},
     publisher = {mathdoc},
     volume = {18},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_18_a1/}
}
TY  - JOUR
AU  - S. V. Lyudkovskii
TI  - Normal Families of Functions and Groups of Pseudoconformal Diffeomorphisms of Quaternion and Octonion Variables
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2006
SP  - 101
EP  - 164
VL  - 18
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2006_18_a1/
LA  - ru
ID  - CMFD_2006_18_a1
ER  - 
%0 Journal Article
%A S. V. Lyudkovskii
%T Normal Families of Functions and Groups of Pseudoconformal Diffeomorphisms of Quaternion and Octonion Variables
%J Contemporary Mathematics. Fundamental Directions
%D 2006
%P 101-164
%V 18
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2006_18_a1/
%G ru
%F CMFD_2006_18_a1
S. V. Lyudkovskii. Normal Families of Functions and Groups of Pseudoconformal Diffeomorphisms of Quaternion and Octonion Variables. Contemporary Mathematics. Fundamental Directions, Functional analysis, Tome 18 (2006), pp. 101-164. http://geodesic.mathdoc.fr/item/CMFD_2006_18_a1/