On the total curvature of surfaces in $E^4$

DOI10.4064/cm-39-2-289-296zbMath0409.53047OpenAlexW1188088683MaRDI QIDQ4196998

Peter Wintgen

Publication date: 1978

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-39-2-289-296

zbMATH Keywords

SurfacesMean CurvatureTotal CurvatureCurvature IntegralSelfintersection Number

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (7)

Spherical maps and three-dimensional torsion of surfaces in four- dimensional Riemannian manifolds. II ⋮ Conformal Willmore tori in \(\mathbb{R}^4\) ⋮ The area of the generalized Gaussian image and the stability of minimal surfaces in \(S^ n\) and \(R^ n\). ⋮ A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces ⋮ On surfaces in four-spaces ⋮ Willmore two-spheres in the four-sphere ⋮ Obituary. Peter Wintgen (1945-1981)

This page was built for publication: On the total curvature of surfaces in $E^4$