A characterization of isotropic immersions by extrinsic shapes of smooth curves

DOI10.1016/j.difgeo.2007.11.022zbMath1144.53064OpenAlexW2008379844WikidataQ115357635 ScholiaQ115357635MaRDI QIDQ930068

Tadashi Sugiyama, Toshiaki Adachi

Publication date: 19 June 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.11.022

zbMATH Keywords

Veronese embeddingisotropic immersioncurvature logarithmic derivativeextrinsic shapes of curves

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• Totally geodesic immersions of Kähler manifolds and Kähler Frenet curves
• Totally umbilic isometric immersions and curves of order two
• Submanifolds with proper d-planar geodesics immersed in complex projective spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Planar geodesic immersions
• A characterization of constant isotropic immersions by circles
• Immersions with parallel second fundamental form
• On circles and spheres in Riemannian geometry
• Complex Space Forms Immersed in Complex Space Forms
• Isotropic and Kähler Immersions

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