Geometric flow | Surfaces | Differential geometry

Willmore energy

In differential geometry, the Willmore energy is a quantitative measure of how much a given surface deviates from a round sphere. Mathematically, the Willmore energy of a smooth closed surface embedded in three-dimensional Euclidean space is defined to be the integral of the square of the mean curvature minus the Gaussian curvature. It is named after the English geometer Thomas Willmore. (Wikipedia).

Willmore energy
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Related pages

Willmore conjecture | Gradient flow | Gauss–Bonnet theorem | Calculus of variations | Euler characteristic | Mean curvature | Geometric flow | Minimal surface | Sphere eversion | Sphere | Embedding | Gradient descent | Euclidean space | Critical point (mathematics) | Topological property | Integral | Manifold | Minimax eversion | Thomas Willmore | Differential geometry | Gaussian curvature | Surface (topology)