Conformal Geometry and the Cyclides of Dupin
Copyright policy )Conformal Geometry and the Cyclides of Dupin
A Riemannian manifold (M, g) is said to be conformally flat if every point has a neighborhood conformai to an open set in Euclidean space. Over the past thirty years, many papers have appeared attacking, with varying degrees of success, the problem of classifying the conformally flat spaces which occur as hypersurfaces in Euclidean space. Most of these start from the following pointwise result of Schouten.
- Indiana University South Bend United States
- College of the Holy Cross United States
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), conformally flat, cyclides of Dupin, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, focal sets, hypersurfaces, Conformal differential geometry, taut
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), conformally flat, cyclides of Dupin, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, focal sets, hypersurfaces, Conformal differential geometry, taut
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