Immersions of Riemannian manifolds into cylinders

DOI10.1007/BF01192755zbMath0486.53041WikidataQ115393936 ScholiaQ115393936MaRDI QIDQ1164865

Dimitri Koutroufiotis, Thomas Hasanis

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

minimal surfacescalar curvaturemean curvaturegeneralized cylinder

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Projective differential geometry (53A20)

Related Items (3)

Curvature estimates for properly immersed \(\phi_h\)-bounded submanifolds ⋮ An estimate for the sectional curvature of cylindrically bounded submanifolds ⋮ Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube

Cites Work

• Unnamed Item
• A complete minimal surface in \(R^ 3\) between two parallel planes
• Isometric immersions of Riemannian manifolds
• An Estimate for the Curvature of Bounded Submanifolds

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