Geodesic
On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields
Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 70-98

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

For a sufficiently wide class of $r$-smooth basis vector fields, we obtain necessary and sufficient conditions for some anisotropic metric functions induced by these vector fields to be quasimetrics. These results are applied to the problem of the existence of a nilpotent tangent cone at a distinguished point. 
@article{MT_2011_14_1_a2,
     author = {A. V. Greshnov},
     title = {On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields},
     journal = {Matemati\v{c}eskie trudy},
     pages = {70--98},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2011_14_1_a2/}
}
TY  - JOUR
AU  - A. V. Greshnov
TI  - On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields
JO  - Matematičeskie trudy
PY  - 2011
SP  - 70
EP  - 98
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2011_14_1_a2/
LA  - ru
ID  - MT_2011_14_1_a2
ER  - 
%0 Journal Article
%A A. V. Greshnov
%T On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields
%J Matematičeskie trudy
%D 2011
%P 70-98
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2011_14_1_a2/
%G ru
%F MT_2011_14_1_a2
A. V. Greshnov. On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 70-98. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a2/