Isometric immersions of manifolds with plane geodesics into Euclidean space

DOI10.4310/jdg/1214431643zbMath0282.53018OpenAlexW1526101969WikidataQ115192674 ScholiaQ115192674MaRDI QIDQ1843985

Sing-Long Hong

Publication date: 1973

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214431643

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Local submanifolds (53B25)

Related Items (22)

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 ⋮ Differential geometry of submanifolds ⋮ Symmetric submanifolds of Euclidean space ⋮ On a certain minimal immersion of a Riemannian manifold into a sphere ⋮ Planar pseudo-geodesics and totally umbilic submanifolds ⋮ Submanifolds in Euclidean space with simple geodesics ⋮ Helical immersions into a unit sphere ⋮ Circles and spheres in pseudo-Riemannian geometry ⋮ Planar geodesic immersions ⋮ Affine planar geodesic immersions with maximal codimension ⋮ Planar geodesic submanifolds in complex space forms ⋮ Characterizations of some homogeneous Hopf real hypersurfaces in a nonflat complex space form by extrinsic shapes of trajectories ⋮ Rigidity of pseudo-isotropic immersions ⋮ Submanifolds with geodesic normal sections ⋮ Classification of surfaces with planar normal sections ⋮ Holomorphic helices in a complex space form ⋮ Planar geodesic immersions in pseudo-Euclidean space ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point

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