Immersions with fractal set of points of zero Gauss-Kronecker curvature
نویسندگان
چکیده
منابع مشابه
A pr 2 00 3 Immersions with fractal set of points of zero Gauss - Kronecker curvature
We construct, for any " good " Cantor set F of S n−1 , an immersion of the sphere S n with set of points of zero Gauss-Kronecker curvature equal to F ×D 1 , where D 1 is the 1-dimensional disk. In particular these examples show that the theorem of Matheus-Oliveira strictly extends two results by do Carmo-Elbert and Barbosa-Fukuoka-Mercuri.
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ژورنال
عنوان ژورنال: Bulletin Brazilian Mathematical Society
سال: 2004
ISSN: 1678-7544,1678-7714
DOI: 10.1007/s00574-004-0019-6