Submanifolds with geodesic normal sections
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Publication:791902
DOI10.1007/BF01450703zbMath0536.53053OpenAlexW1997191097MaRDI QIDQ791902
Publication date: 1984
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163942
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)
Related Items (15)
Pointed Blaschke manifolds and geodesic normal sections ⋮ Pointed helical submanifolds of Euclidean space ⋮ Submanifolds with proper d-planar geodesics immersed in complex projective spaces ⋮ Surfaces with simple geodesics through a point ⋮ Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections ⋮ Surfaces in a pseudo-Euclidean space with planar normal sections ⋮ Surfaces with high contact number and their characterization ⋮ Ric-semisymmetric submanifolds ⋮ Submanifolds with finite type Gauss map ⋮ Isometric immersions with geodesic normal sections in semi-Riemannian geometry ⋮ Normal Section Curves and Curvatures ⋮ Helical immersions and normal sections ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point ⋮ Semi-parallel surfaces in Euclidean space ⋮ Isotropic submanifolds with pointwise planar normal sections
Cites Work
- On a certain minimal immersion of a Riemannian manifold into a sphere
- Differential geometry of submanifolds with planar normal sections
- Manifolds with planar geodesics
- Planar geodesic immersions
- Isometric immersions of manifolds with plane geodesics into Euclidean space
- Minimal immersions of spheres into spheres
- Isotropic and Kähler Immersions
- Minimal Surfaces with Constant Gauss Curvature
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