Topology of Certain Submanifolds in the Euclidean Sphere

DOI10.2307/2043788zbMath0481.57009OpenAlexW4243722794MaRDI QIDQ3938891

Yuan Long Xin

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043788

zbMATH Keywords

compact manifold with nonpositive sectional curvatureimmersed submanifold in the Euclidean spherenonexistence for harmonic maps

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Harmonic maps, etc. (58E20) Fundamental group, presentations, free differential calculus (57M05)

Related Items (3)

Harmonic Maps and a Pinching Theorem for Positively Curved Hypersurfaces ⋮ Stability of Harmonic Maps and Minimal Immersions ⋮ On harmonic maps with finite energy

Cites Work

• Some results on stable harmonic maps
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• Minimal varieties in Riemannian manifolds
• A Report on Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds

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