On the stability of harmonic maps under the homogeneous Ricci flow

DOI10.1515/COMA-2018-0007zbMath1393.53053arXiv1701.05396OpenAlexW2963079050MaRDI QIDQ720770

Lino Grama, Rafaela F. do Prado

Publication date: 18 July 2018

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05396

zbMATH Keywords

harmonic mapsflag manifoldsholomorphic-horizontal mapshomogeneous Ricci flow

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Grassmannians, Schubert varieties, flag manifolds (14M15) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
• Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds
• Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands
• Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds
• The Ricci flow of left-invariant metrics on full flag manifold \(SU(3)/T\) from a dynamical systems point of view
• Lie groups and twistor spaces
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Three-manifolds with positive Ricci curvature
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
• Curvature flows for almost-hermitian Lie groups
• Harmonic Mappings of Riemannian Manifolds
• Kählerian Coset Spaces of Semisimple Lie Groups
• Four-manifolds with positive isotropic curvature

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