Shadows and convexity of surfaces

DOI10.2307/3062157zbMath1013.53040arXivmath/0409366OpenAlexW1973445231MaRDI QIDQ1613293

Mohammad Ghomi

Publication date: 6 July 2003

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409366

zbMATH Keywords

shadowtight immersionskew loopvision numbertantrixtwo piece-property

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

Related Items (13)

Minimal helix submanifolds and minimal Riemannian foliations ⋮ Helix submanifolds of Euclidean spaces ⋮ Nonexistence of skew loops on ellipsoids ⋮ Helix, shadow boundary and minimal submanifolds ⋮ Nonnegatively curved hypersurfaces with free boundary on a sphere ⋮ Skew loops in flat tori ⋮ Totally skew embeddings of manifolds ⋮ Directed immersions of closed manifolds ⋮ A compact minimal shadow boundary in Euclidean space is totally geodesic ⋮ Introducing totally nonparallel immersions ⋮ Tangent lines, inflections, and vertices of closed curves ⋮ Weak helix submanifolds of Euclidean spaces ⋮ On Weakr-Helix Submanifolds

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