The Willmore Conjecture for immersed tori with small curvature integral
Abstract
Description
The Willmore conjecture states that any immersion F:T^2 -> R^n of a 2-torus into flat euclidean space satisfies $\int_{T^2} H^2\geq 2π^2$. We prove it under the condition that the L^p-norm of the Gaussian curvature is sufficiently small.
26 pages, Latex2e, 3 figures using pstricks, some minor changes, numbers of theorems and propositions changed
26 pages, Latex2e, 3 figures using pstricks, some minor changes, numbers of theorems and propositions changed