Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2024; 39(1): 211-221

Online first article January 25, 2024      Printed January 31, 2024

https://doi.org/10.4134/CKMS.c230119

Copyright © The Korean Mathematical Society.

Some characterizations of conics and hypersurfaces with centrally symmetric hyperplane sections

Shin-Ok Bang, Dong Seo Kim, Dong-Soo Kim, Wonyong Kim

Chonnam National University; Chonnam National University; Chonnam National University; Chonnam National University

Abstract

Go to

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.

Keywords: Conic, elliptic paraboloid, ellipsoid, elliptic hyperboloid

MSC numbers: Primary 51M04, 52A10, 52A20

Supported by: This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A3B05050223).

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS