@misc{10481/110083, year = {2025}, url = {https://hdl.handle.net/10481/110083}, abstract = {Consider the energy Eα⁢[Σ]=∫Σ|p|α𝑑�Σ, where Σ is a surface in Euclidean space ℝ3 and α∈ℝ. We prove that planes and spheres are the only stationary surfaces for Eα with constant Gauss curvature. We also characterize these surfaces assuming that a principal curvature is constant or that the mean curvature is constant.}, organization = {MINECO/MICINN/FEDER, PID2023-150727NB-I00}, organization = {MCINN/AEI/10.13039/ 501100011033/CEX2020-001105-M, CEX2020-001105- M}, publisher = {De Gruyter}, keywords = {Moment of inertia}, keywords = {Stationary surfaces}, keywords = {Gauss curvature}, title = {Stationary surfaces for the moment of inertia with constant Gauss curvature}, doi = {10.1515/anly-2025-0037}, author = {López Camino, Rafael}, }