충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권2호
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  • Pages.125-133
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  • 2023
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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VOLUME PROPERTIES AND A CHARACTERIZATION OF ELLIPTIC PARABOLOIDS

  • Dong-Soo Kim (Department of Mathematics Chonnam National University) ;
  • Kyung Bum Lee (Department of Mathematics Chonnam National University) ;
  • Booseon Song (Department of Mathematics Chonnam National University) ;
  • Incheon Kim (Department of Mathematics Chonnam National University) ;
  • Min Seong Hwang (Department of Mathematics Chonnam National University)
  • 투고 : 2023.01.31
  • 심사 : 2023.05.15
  • 발행 : 2023.05.30
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초록

We establish a characterization theorem of elliptic paraboloids in the (n+1)-dimensional Euclidean space 𝔼n+1 with extrinsic properties such as the (n+1)-dimensional volumes of regions enclosed by the hyperplanes and hypersurfaces, and the n-dimensional areas of projections of the sections of hypersurfaces cut off by hyperplanes.

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참고문헌

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