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- W4381736178 abstract "We study constant mean curvature hypersurfaces constructed over the fiber <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msup> <mrow> <mi>M</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msup> </math> of warped products <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi>I</mi> <msub> <mrow> <mo>×</mo> </mrow> <mrow> <mi>f</mi> </mrow> </msub> <msup> <mrow> <mi>M</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msup> </math> . In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces by applying a parabolicity criterion. As an application, we get some Bernstein type theorems." @default.
- W4381736178 created "2023-06-24" @default.
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- W4381736178 date "2023-06-23" @default.
- W4381736178 modified "2023-10-18" @default.
- W4381736178 title "On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products" @default.
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- W4381736178 doi "https://doi.org/10.1155/2023/6390463" @default.
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