https://neckpinch.com/authors/muhittin-evren-aydin/New arXiv papers by Muhittin Evren Aydin, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2508.17321/arxiv:2508.17321Sun, 24 Aug 2025 00:00:00 GMTMuhittin Evren Aydin, Rafael López — A λ-translator is a surface in Euclidean space ℝ³ whose Gauss curvature K satisfies K=⟨ N, v ⟩ +λ, where N is the Gauss map, v is a fixed direction, and λ∈ ℝ. In this paper, we classify all λ-translators that are invariant by a one-parameter group of translations and a one-parameter group of rotations.Other curvature flowsGauss curvature flowSelf-shrinkers & translators https://neckpinch.com/papers/2201.05347/arxiv:2201.05347Fri, 14 Jan 2022 00:00:00 GMTMuhittin Evren Aydin, Rafael López — A K^α-translator is a surface in Euclidean space r³ that moves by translations in a spatial direction and under the K^α-flow, where K is the Gauss curvature and α is a constant. We classify all K^α-translators that are rotationally symmetric. In particular, we prove that for each α there is a K^α-translator intersecting orthogonally the rotation axis. We also describe all K^α-translators invariant by a uniparametric group of helicoidal motions and the translators obtained by separation of variables.Other curvature flowsGauss curvature flowSelf-shrinkers & translatorsRotational symmetry & warped products