Variational aspects of homogeneous geodesics on generalized flag manifolds and applications

do Prado, Rafaela F.; Grama, Lino

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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.)

Variational aspects of homogeneous geodesics on generalized flag manifolds and applications

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Author(s):	do Prado, Rafaela F. ^[1] ; Grama, Lino ^[2] Total Authors: 2
Affiliation:	^[1] IFB, Fed Inst Brasilia, Campus Gama, Brasilia, DF - Brazil ^[2] Univ Estadual Campinas, Dept Math, IMECC, Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 55, n. 3, p. 451-477, APR 2019.
Web of Science Citations:	0
Abstract
We study conjugate points along homogeneous geodesics in generalized flag manifolds. This is done by analyzing the second variation of the energy of such geodesics. We also give an example of how the homogeneous Ricci flow can evolve in such way to produce conjugate points in the complex projective space CP2n+1=Sp(n+1)/(U(1)xSp(n)). (AU)

FAPESP's process:	16/22755-1 - Topics on geometry of homogeneous spaces
Grantee:	Lino Anderson da Silva Grama
Support Opportunities:	Regular Research Grants

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