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- W4313172690 abstract "Let $I times_{f} mathbb E^2_1$ be a 3-dimensional Lorentzian warped product manifold with the metric $tilde g = dt^2 + f^2(t) (dx^2 - dy^2)$, where $I$ is an open interval, $f$ is a strictly positive smooth function on $I,$ and $mathbb E^2_1$ is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in $I times_{f} mathbb E^2_1$ with nonnull principal direction when the surface is time-like. In this classification, we obtain space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we have some results on constant angle surfaces of the anti-de Sitter space $ mathbb H^3_1(-1)$." @default.
- W4313172690 created "2023-01-06" @default.
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- W4313172690 date "2022-01-01" @default.
- W4313172690 modified "2023-10-17" @default.
- W4313172690 title "Constant angle surfaces in the Lorentzian warped product manifold $I times_{f} mathbb E^2_1$" @default.
- W4313172690 doi "https://doi.org/10.55730/1300-0098.3326" @default.
- W4313172690 hasPublicationYear "2022" @default.
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