Explicit harmonic self-maps of complex projective spaces

DOI10.1007/s12220-023-01465-warXiv2304.00851OpenAlexW4388626707MaRDI QIDQ6143860

José Miguel Balado-Alves

Publication date: 5 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00851

zbMATH Keywords

stabilityharmonic mapscomplex projective spacescohomogeneity one action

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

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• Cohomogeneity one manifolds and self-maps of nontrivial degree
• The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
• Equivariant harmonic maps between compact Riemannian manifolds of cohomogeneity 1
• On the equivariant stability of harmonic self-maps of cohomogeneity one manifolds
• Harmonic self-maps of cohomogeneity one manifolds
• Harmonic maps between spheres
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Harmonic Mappings of Spheres
• On the harmonic Hopf construction
• Non-Existence of Stable Harmonic Maps from Sufficiently Pinched Simply Connected Riemannian Manifolds
• Harmonic Mappings of Riemannian Manifolds
• On \(p\)-harmonic self-maps of spheres

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