https://neckpinch.com/authors/john-ross/New arXiv papers by John Ross, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1709.05020/arxiv:1709.05020Fri, 15 Sep 2017 00:00:00 GMTJohn Ross — In this paper we show the existence of a closed, embedded λ-hypersurfaces Σ⊂ ℝ²ⁿ. The hypersurface is diffeomorhic to Sⁿ⁻¹ × Sⁿ⁻¹ × S¹ and exhibits SO(n) × SO(n) symmetry. Our approach uses a "shooting method" similar to the approach used by McGrath in constructing a generalized self-shrinking torus solution to mean curvature flow. The result generalizes the λ-torus found by Cheng and Wei.Mean curvature flowSelf-shrinkers & translators