The Global Property of Generic Conformally Flat Hypersurfaces in R4
نویسندگان
چکیده
A conformally flat hypersurface f:M3→R4 in the four-dimensional Euclidean space R4 is said to be generic if has three distinct principal curvatures everywhere. In this paper, we study hypersurfaces using framework of Möbius geometry. First, classify locally with a vanishing form under transformation group R4. Second, investigate global behavior compact and give some integral formulas about invariant these hypersurfaces.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11061435