On a certain minimal immersion of a Riemannian manifold into a sphere

DOI10.2996/kmj/1138036255zbMath0455.53041OpenAlexW1979065680WikidataQ115224658 ScholiaQ115224658MaRDI QIDQ1150168

Hisao Nakagawa

Publication date: 1980

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/92ee9153ae320244ac1aed43408cdea17d31c209

zbMATH Keywords

standard immersioncubic geodesic immersiondegree of immersionsplanar geodesic immersions

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (11)

The order of helical minimal imbeddings of strongly harmonic manifolds ⋮ Submanifolds with proper d-planar geodesics immersed in complex projective spaces ⋮ Submanifolds in Euclidean space with simple geodesics ⋮ Helical immersions into a unit sphere ⋮ Circles and spheres in pseudo-Riemannian geometry ⋮ Helical Minimal Immersions of Compact Riemannian Manifolds into a Unit Sphere ⋮ The space of almost complex 2-spheres in the 6-sphere ⋮ Submanifolds with geodesic normal sections ⋮ Almost complex submanifolds of a 6-dimensional sphere ⋮ Helical immersions and normal sections ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point

Cites Work

• 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
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