Isothermic submanifolds of Euclidean space

DOI10.1515/CRELLE.2006.067zbMath1111.53005arXivmath/0401020OpenAlexW2963840615MaRDI QIDQ3413793

Ruy Tojeiro

Publication date: 18 December 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401020

zbMATH Keywords

Riemannian productconformal immersionChristoffel's problemconformal sphere congruencesisothermic submanifolds in Euclidean space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05)

Related Items (9)

A complete solution of P. Samuel's problem ⋮ Wintgen ideal submanifolds: new examples, frame sequence and Möbius homogeneous classification ⋮ Conformal Kaehler Euclidean submanifolds ⋮ Euclidean hypersurfaces with genuine conformal deformations in codimension two ⋮ Conformal immersions of Riemannian products in low codimension ⋮ Blaschke's problem for hypersurfaces ⋮ Conformal immersions of warped products ⋮ Isothermic submanifolds ⋮ Conformally flat submanifolds with flat normal bundle

Cites Work

• Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
• Examples of simply-connected Liouville manifolds with positive spectrum
• AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION
• On a class of submanifolds carrying an extrinsic totally umbilical foliation.

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