Conformal deformations preserving the Gauss map
Copyright policy ) Vergasta, Enaldo Silva;
Conformal deformations preserving the Gauss map
We establish conditions on a conformal immersion of a Riemannian manifold in the Euclidean space for the existence of another conformal immersion with the same Gauss map. For surfaces in \(\mathbb{R}^ 3\) these conditions are expressed by a partial differential equation envolving the principal curvatures.
Gauss map, 53A30, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, conformal immersion, 53C42, Conformal differential geometry
Gauss map, 53A30, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, conformal immersion, 53C42, Conformal differential geometry
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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