Morse index of constant mean curvature tori of revolution in the 3-sphere

zbMath1152.53048arXivmath/0605127MaRDI QIDQ938816

Wayne Rossman, Nahid Sultana

Publication date: 27 August 2008

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605127

zbMATH Keywords

Morse indexconstant mean curvatureindexbulgesneckstori of revolution in 3-spheres

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

On the genus and area of constant mean curvature surfaces with bounded index ⋮ Lower bounds for the index of compact constant mean curvature surfaces in \(\mathbb{R}^3\) and \(\mathbb S^3\) ⋮ On the Morse index with constraints for capillary surfaces ⋮ Bifurcation of constant mean curvature tori in Euclidean spheres ⋮ The spectra of Jacobi operators for constant mean curvature tori of revolution in the 3-sphere ⋮ A new bound on the Morse index of constant mean curvature tori of revolution in \(\mathbb S^3\)

This page was built for publication: Morse index of constant mean curvature tori of revolution in the 3-sphere