Helical immersions into a unit sphere
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Publication:1160438
DOI10.1007/BF01456411zbMath0476.53033MaRDI QIDQ1160438
Publication date: 1982
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/182866
constant curvaturegeodesicunit sphereminimalBlaschke manifoldharmonic manifoldshelical immersionosculating order
Related Items (15)
Pointed Blaschke manifolds and geodesic normal sections ⋮ Submanifolds with proper d-planar geodesics immersed in complex projective spaces ⋮ Groups of motions and minimal immersions of spheres into spheres ⋮ Minimal SU(2)-orbits in spheres with and without isotropy ⋮ Submanifolds in Euclidean space with simple geodesics ⋮ Helical Minimal Immersions of Compact Riemannian Manifolds into a Unit Sphere ⋮ An intrinsic approach to Lichnerowicz conjecture ⋮ Extremal Lorentzian surfaces with null \(r\)-planar geodesics in space forms ⋮ Isometric immersions with geodesic normal sections in semi-Riemannian geometry ⋮ Eigenvalue inequalities for minimal submanifols and P-manifolds ⋮ The sectional curvature of a 5-dimensional harmonic Riemannian manifold ⋮ Helical immersions and normal sections ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point ⋮ Characterization of proper curves and proper helix lying on $S_{1}^2(r)$ ⋮ Geometric properties of a sequence of standard minimal immersions between spheres
Cites Work
- Symmetric submanifolds of Euclidean space
- On a certain minimal immersion of a Riemannian manifold into a sphere
- Manifolds with planar geodesics
- Planar geodesic immersions
- Distance function and cut loci on a complete Riemannian manifold
- Isometric immersions of manifolds with plane geodesics into Euclidean space
- Propriétés globales des espaces de Riemann harmoniques
- Isotropic and Kähler Immersions
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