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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Counting geodesics on compact Lie groups

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Author(s):
Seco, Lucas [1] ; San Martin, Luiz A. B. [2]
Total Authors: 2
Affiliation:
[1] Univ Brasilia UnB, Dept Matemat, Campus Darcy Ribeiro, Brasilia, DF - Brazil
[2] Univ Campinas UNICAMP, Dept Matemat, Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 56, p. 325-343, FEB 2018.
Web of Science Citations: 0
Abstract

We count the geodesics of a given length connecting two points of a compact connected Lie group with a biinvariant metric. We reduce the question to the maximal torus by using the lattice, the diagram and the Weyl group to count the geodesics that occur outside the maximal torus. We apply our results to give short proofs of known results on conjugate and cut points of compact semisimple Lie groups. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants