Open AccessOn Some -Finite-Type Euclidean Hypersurfaces
Author(s) -
Akram Mohammadpouri,
S. M. B. Kashani
Publication year - 2012
Publication title -
isrn geometry
Language(s) - English
Resource type - Journals
eISSN - 2090-6315
pISSN - 2090-6307
DOI - 10.5402/2012/591296
Subject(s) - hypersurface , euclidean geometry , mathematics , euclidean distance , type (biology)
We study some -finite-type Euclidean hypersurfaces. We classify -1-type Euclidean hypersurfaces and -null-2-type Euclidean hypersurfaces with at most two distinct principal curvatures. We also prove that, under some mild restrictions, there exists no -null-3-type Euclidean hypersurface.
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