A+ CATEGORY SCIENTIFIC UNIT

Hypersurfaces with constant curvature in ${\Bbb R}^{n+1}$

Volume 57 / 2002

J. A. Gálvez, A. Martínez Banach Center Publications 57 (2002), 101-108 MSC: Primary 53A05, 53A07 DOI: 10.4064/bc57-0-7

Abstract

We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in ${\Bbb R}^{n+1}$ with constant curvature bounding a planar closed $(n-1)$-submanifold.

Authors

  • J. A. GálvezDepartamento de Geometría y Topología
    Facultad de Ciencias
    Universidad de Granada
    18071 Granada, Spain
    e-mail
  • A. MartínezDepartamento de Geometría y Topología
    Facultad de Ciencias
    Universidad de Granada
    18071 Granada, Spain
    e-mail

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