Variational aspects of homogeneous geodesics on generalized flag manifolds and applications

Variational aspects of homogeneous geodesics on generalized flag manifolds and applications

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...

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Veröffentlicht in:Annals of global analysis and geometry 2019-04, Vol.55 (3), p.451-477
Hauptverfasser: Prado, Rafaela F. do, Grama, Lino
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Conjugate points
Conjugates
Differential Geometry
Geodesy
Geometry
Global Analysis and Analysis on Manifolds
Manifolds
Mathematical analysis
Mathematical Physics
Mathematics
Mathematics and Statistics
Topological manifolds
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Zusammenfassung: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 C P 2 n + 1 = Sp ( n + 1 ) / ( U ( 1 ) × Sp ( n ) ) .
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-018-9635-z