Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group-Reference-Cited by-同舟云学术

Riemannian and sub-Riemannian structures on a cotangent bundle of Heisenberg group

Published:2023 Issue:25 Volume:37 Page:8481-8488
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sukilovic Tijana¹^ORCID,Vukmirovic Srdjan¹

Affiliation:

1. University of Belgrade, Faculty of Mathematics, Belgrade, Serbia

Abstract

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.

Publisher

National Library of Serbia

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