RT Journal Article T1 A note on spacelike submanifolds through light cones in Lorentzian space forms A1 Cánovas, Verónica L. A1 de la Fuente, Daniel A1 Palomo-Ruiz, Francisco José K1 Espacio y tiempo AB We analyse the intrinsic and extrinsic geometry of spacelike submanifolds in light conesof de Sitter and anti-de Sitter spacetimes by means of an explicit correspondence withthe spacelike submanifolds through the light cone in the Lorentz-Minkowski spacetime.In particular, a characterization of totally umbilical compact surfaces through light conesin de Sitter and anti-de Sitter is shown and we obtain an estimation of the  rst eigenvalueof the Laplace operator on a compact spacelike surface in a light cone PB Springer Nature YR 2021 FD 2021-01-09 LK https://hdl.handle.net/10630/36535 UL https://hdl.handle.net/10630/36535 LA eng NO Cánovas, V.L., de la Fuente, D. & Palomo, F.J. A Note on Spacelike Submanifolds Through Light Cones in Lorentzian Space Forms. Results Math 76, 15 (2021). https://doi.org/10.1007/s00025-020-01316-y NO Spanish MINECO/FEDER project MTM2015-65430-P andFundación Séneca project reference 19901/GERM/15, Spanish MINECO and FEDER funds project MTM2016-78807-C2-1-P. Spanish MINECO and FEDER funds project MTM2016-78807-C2-2-P. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 22 ene 2026