We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a (n+1)-dimensional Lorentzian reducible manifold and provide explicit examples, especially in the three-dimensional case. Moreover, in this special case, we determine a general condition characterizing minimal and CMC surfaces and describe some examples.
Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces
Calvaruso G.
;Pellegrino L.
2025-01-01
Abstract
We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a (n+1)-dimensional Lorentzian reducible manifold and provide explicit examples, especially in the three-dimensional case. Moreover, in this special case, we determine a general condition characterizing minimal and CMC surfaces and describe some examples.File in questo prodotto:
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