Constrained willmore surfaces
WebMay 13, 2024 · Willmore surfaces are the critical points of the Willmore functional, characterized by the harmonicity of the mean curvature sphere congruence. This … WebWillmore energy and total curvature. We prove that Bryant spheres with smooth ends are soliton spheres and, in particular, can be obtained by a twistor construction. Moreover, the possible Willmore energies of ... surfaces, isan importantpartof contemporarysurface theory, see e.g. [18,19] and the references therein. One reason for the ongoing ...
Constrained willmore surfaces
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WebMay 20, 2024 · see [7, 27].The first examples of these constrained Willmore tori are given by those of constant mean curvature (CMC) in a 3-dimensional space form. It is well … WebThis image shows constrained Willmore surfaces (critical surface for the bending energy under angle preserving deformation) in 3-space. To be precise, it is a 2-lobed …
WebDec 30, 2009 · Download PDF Abstract: This work is dedicated to the study of the Moebius invariant class of constrained Willmore surfaces and its symmetries. We define a … WebarXiv.org e-Print archive
WebJan 12, 2008 · Constrained Willmore surfaces are conformal immersions of Riemann surfaces that are critical points of the Willmore energy $${\\mathcal{W}} = \\int H^2$$ … WebWe refine the Lyapunov–Schmidt analysis from our recent paper (Eichmair and Koerber in Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. arXiv preprint arXiv:2101.12665, 2024) to study the geometric center of mass of the asymptotic foliation by area-constrained Willmore surfaces of initial data for the …
WebThe aim of this article is to develop the basics of a theory of constrained Willmore surfaces. These are the critical points of the Willmore functional W = ∫ H 2 dA restricted to the class of conformal immersions of a fixed Riemann surface. The class of constrained Willmore surfaces is invariant under Möbius transformations of the ambient space.
WebApr 8, 2024 · We refine the Lyapunov–Schmidt analysis from our recent paper (Eichmair and Koerber in Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. arXiv preprint arXiv:2101.12665 , 2024) to study the geometric center of mass of the asymptotic foliation by area-constrained Willmore surfaces of initial data for the … in cup chicken soupWebSep 1, 1999 · Abstract We consider the evolution of a surface Γ ( t ) according to the equation V = H − H , where V is the normal velocity of Γ ( t ), H is the sum of the two principal curvatures and H is the average of H on Γ ( t ). We study the case where Γ ( t ) intersects orthogonally a fixed surface Σ and discuss some aspects of the dynamics of Γ … imt wood ranch simi valleyWebJan 29, 2024 · all area-constrained Willmore surfaces with small energy that enclose a sufficiently large bounded set are part of this foliation; cf. "Theorem 49 (In progress)" in [30]. Note that – being non ... in current factWebMay 13, 2024 · Constant mean curvature surfaces in 3-dimensional space-forms are examples of constrained Willmore surfaces, characterized by the existence of some conserved quantity. Both constrained Willmore spectral deformation and Bäcklund transformation prove to preserve the existence of such a conserved quantity, defining, in … imthirsty是什么意思Weblarge isoperimetric surfaces. This foliation detects the Hamiltonian center of mass (2) of (M,g)in a natural way. We provide a brief survey of these results in “Appendix B”. By comparison, much less is known about area-constrained Willmore surfaces. To describe recent developments, given an integer k ≥ 2, we say that (M,g) is Ck- imt year 3WebJan 29, 2024 · We apply the method of Lyapunov-Schmidt reduction to study large area-constrained Willmore surfaces in Riemannian 3-manifolds asymptotic to … in curling what is hammerWebOct 13, 2024 · This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and … imt woodland meadows apartments