Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space
We consider rotational hypersurface in the four-dimensional Euclidean space E^ 4 E 4. We
study the Gauss map GG of rotational hypersurface in E^ 4 E 4 with respect to the so-called
Cheng–Yau operator L_ 1 L 1 acting on the functions defined on the hypersurfaces. We
obtain the classification theorem that the only rotational hypersurface with Gauss map GG
satisfying L_ 1 G= AG L 1 G= AG for some 4 * 4 4× 4 matrix AA are the hyperplanes, right
circular hypercones, circular hypercylinders, and hyperspheres.
study the Gauss map GG of rotational hypersurface in E^ 4 E 4 with respect to the so-called
Cheng–Yau operator L_ 1 L 1 acting on the functions defined on the hypersurfaces. We
obtain the classification theorem that the only rotational hypersurface with Gauss map GG
satisfying L_ 1 G= AG L 1 G= AG for some 4 * 4 4× 4 matrix AA are the hyperplanes, right
circular hypercones, circular hypercylinders, and hyperspheres.
[引用][C] Cheng-Yau Operator and Gauss Map of Rotational Hypersurfaces in 4-Space
NCT Erhan Guler - 2019 - acikerisim.bartin.edu.tr
Cheng-Yau Operator and Gauss Map of Rotational Hypersurfaces in 4-Space … Cheng-Yau
Operator and Gauss Map of Rotational Hypersurfaces in 4-Space …
Operator and Gauss Map of Rotational Hypersurfaces in 4-Space …
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