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- W2910106523 abstract "Abstract Following an original idea of Palmas, Palomo and Romero, recently developed in [12], we study codimension two spacelike submanifolds contained in the light cone of the Lorentz-Minkowski spacetime through an approach which allows us to compute their extrinsic and intrinsic geometries in terms of a single function u . As the first application of our approach, we classify the totally umbilical ones. For codimension two compact spacelike submanifolds into the light cone, we show that they are conformally diffeomorphic to the round sphere and that they are given by an explicit embedding written in terms of u . In the last part of the paper, we consider the case where the submanifold is (marginally, weakly) trapped. In particular, we derive some non-existence results for weakly trapped submanifolds into the light cone." @default.
- W2910106523 created "2019-01-25" @default.
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- W2910106523 date "2019-01-17" @default.
- W2910106523 modified "2023-10-16" @default.
- W2910106523 title "Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone" @default.
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- W2910106523 doi "https://doi.org/10.1017/prm.2018.132" @default.
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