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Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

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Author(s):
Grajales, Brian ; Grama, Lino
Total Authors: 2
Document type: Journal article
Source: Annali di Matematica Pura ed Applicata; v. 203, n. 6, p. 28-pg., 2024-05-13.
Abstract

In this paper, we investigate equigeodesics on a compact homogeneous space M=G/H.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M=G/H.$$\end{document} We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of M and the Lie structure of the Lie algebra of G. Applications to M-spaces are also discussed. (AU)

FAPESP's process: 18/13481-0 - Geometry of control, dynamical and stochastic systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 23/04083-0 - Geometry of Control, Dynamical and Stochastic Systems (Geometry / Topology of Homogenous Spaces)
Grantee:Brian David Grajales Triana
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 23/13131-8 - Invariant Hermitian structures and geometric flows on homogeneous spaces
Grantee:Lino Anderson da Silva Grama
Support Opportunities: Regular Research Grants