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Some characterizations of conics and hypersurfaces with centrally symmetric hyperplane sections
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Parallel conics have interesting area and chord properties. In this paper, we study such properties of conics and conic hypersurfaces. First of all, we characterize conics in the plane with respect to the above mentioned properties. Finally, we establish some characterizations of hypersurfaces with centrally symmetric hyperplane sections.
Abstract
Parallel conics have interesting area and chord properties. In this paper, we study such properties of conics and conic hypersurfaces. First of all, we characterize conics in the plane with respect to the above mentioned properties. Finally, we establish some characterizations of hypersurfaces with centrally symmetric hyperplane sections.
참고문헌 (17)
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- ´ O. Ciaurri, "Revisiting floating bodies", Expo. Math, 34(4), pp.396~422 (2016)[DOI]
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관련 논문AI추천
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