Hypersurfaces with constant curvature in n + 1

J. A. Gálvez; A. Martínez

Banach Center Publications (2002)

  • Volume: 57, Issue: 1, page 101-108
  • ISSN: 0137-6934

Abstract

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

How to cite

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J. A. Gálvez, and A. Martínez. "Hypersurfaces with constant curvature in $ℝ^{n+1}$." Banach Center Publications 57.1 (2002): 101-108. <http://eudml.org/doc/281820>.

@article{J2002,
abstract = {We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in $ℝ^\{n+1\}$ with constant curvature bounding a planar closed (n-1)-submanifold.},
author = {J. A. Gálvez, A. Martínez},
journal = {Banach Center Publications},
keywords = {elliptic partial differential equations; Monge-Ampère type; height; curvature; compact hypersurfaces},
language = {eng},
number = {1},
pages = {101-108},
title = {Hypersurfaces with constant curvature in $ℝ^\{n+1\}$},
url = {http://eudml.org/doc/281820},
volume = {57},
year = {2002},
}

TY - JOUR
AU - J. A. Gálvez
AU - A. Martínez
TI - Hypersurfaces with constant curvature in $ℝ^{n+1}$
JO - Banach Center Publications
PY - 2002
VL - 57
IS - 1
SP - 101
EP - 108
AB - We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in $ℝ^{n+1}$ with constant curvature bounding a planar closed (n-1)-submanifold.
LA - eng
KW - elliptic partial differential equations; Monge-Ampère type; height; curvature; compact hypersurfaces
UR - http://eudml.org/doc/281820
ER -

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