Geodesic
Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group
Filomat, Tome 37 (2023) no. 25, p. 8481

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper we give a classification of left invariant sub-Riemannian structures on cotangent bundle of 2n+1 dimensional Heisenberg group T∗H2n+1. We show that the sub-Riemannian metric is tamed by the corresponding Riemannian metric on T∗H2n+1. We also describe Riemannian and sub-Riemannian geodesics on T∗H2n+1.
DOI : 10.2298/FIL2325481S
Classification : 22E25, 53C17, 53C55
Keywords: Cotangent bundle, Heisenberg group, Left invariant metrics, Sub-Riemannian structures, Geodesics 
Tijana Šukilović; Srdjan Vukmirović. Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group. Filomat, Tome 37 (2023) no. 25, p. 8481 . doi: 10.2298/FIL2325481S
@article{10_2298_FIL2325481S,
     author = {Tijana \v{S}ukilovi\'c and Srdjan Vukmirovi\'c},
     title = {Riemannian and {sub-Riemannian} structures on a cotangent bundle of {Heisenberg} group},
     journal = {Filomat},
     pages = {8481 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325481S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325481S/}
}
TY  - JOUR
AU  - Tijana Šukilović
AU  - Srdjan Vukmirović
TI  - Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group
JO  - Filomat
PY  - 2023
SP  - 8481 
VL  - 37
IS  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2325481S/
DO  - 10.2298/FIL2325481S
LA  - en
ID  - 10_2298_FIL2325481S
ER  - 
%0 Journal Article
%A Tijana Šukilović
%A Srdjan Vukmirović
%T Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group
%J Filomat
%D 2023
%P 8481 
%V 37
%N 25
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2325481S/
%R 10.2298/FIL2325481S
%G en
%F 10_2298_FIL2325481S

Cité par Sources :