Helical Minimal Immersions of Compact Riemannian Manifolds into a Unit Sphere

DOI10.2307/1999963zbMath0568.53032OpenAlexW4255633691MaRDI QIDQ3684794

Kunio Sakamoto

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999963

zbMATH Keywords

geodesicsBlaschke structurecut lociFrenet curvatureshelical immersionsWeinstein number

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (6)

The order of helical minimal imbeddings of strongly harmonic manifolds ⋮ Submanifolds with proper d-planar geodesics immersed in complex projective spaces ⋮ Helical geodesic immersions into complex space forms ⋮ Minimal SU(2)-orbits in spheres with and without isotropy ⋮ Time-varying isotropic vector random fields on compact two-point homogeneous spaces ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point

Cites Work

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• Helical geodesic immersions of compact rank one symmetric spaces into spheres
• Isotropic minimal immersions of spheres into spheres
• On a certain minimal immersion of a Riemannian manifold into a sphere
• Helical immersions into a unit sphere
• Riemannian submersions with totally geodesic fibers
• Manifolds with planar geodesics
• Planar geodesic immersions
• On the volume of manifolds all of whose geodesics are closed
• Propriétés globales des espaces de Riemann harmoniques
• Riemannian geometry

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