2 papers
math.DG2025
Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
Francisco J. Palomo, Alfonso Romero
A general integral inequality is established for compact spacelike submanifolds of codimension two in the Lorentz-Minkowski spacetime under the assumption that the mean curvature v…
math.DG2024
Exploring new extrinsic upper bounds on the first eigenvalue of the Laplace operator for compact submanifolds in Euclidean spaces
Francisco J. Palomo, Alfonso Romero
Upper bounds of the first non-trivial eigenvalue of the Laplace operator of a compact submanifold of Euclidean space , by means of a new technique, are obtain…