On minimal homothetical hypersurfaces

Lin Jiu; Huafei Sun

Colloquium Mathematicae (2007)

  • Volume: 109, Issue: 2, page 239-249
  • ISSN: 0010-1354

Abstract

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We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.

How to cite

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Lin Jiu, and Huafei Sun. "On minimal homothetical hypersurfaces." Colloquium Mathematicae 109.2 (2007): 239-249. <http://eudml.org/doc/284304>.

@article{LinJiu2007,
abstract = {We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.},
author = {Lin Jiu, Huafei Sun},
journal = {Colloquium Mathematicae},
keywords = {Euclidean space; minimal hypersurface; homothetical hypersurface},
language = {eng},
number = {2},
pages = {239-249},
title = {On minimal homothetical hypersurfaces},
url = {http://eudml.org/doc/284304},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Lin Jiu
AU - Huafei Sun
TI - On minimal homothetical hypersurfaces
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 2
SP - 239
EP - 249
AB - We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
LA - eng
KW - Euclidean space; minimal hypersurface; homothetical hypersurface
UR - http://eudml.org/doc/284304
ER -

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