Compact Embedded Minimal Surfaces of Positive Genus Without Area Bounds
نویسندگان
چکیده
منابع مشابه
Compact Embedded Minimal Surfaces of Positive Genus without Area Bounds
LetM be a three-manifold (possibly with boundary). We will show that, for any positive integer γ, there exists an open nonempty set of metrics on M (in the C-topology on the space of metrics on M) for each of which there are compact embedded stable minimal surfaces of genus γ with arbitrarily large area. This extends a result of Colding and Minicozzi, who proved the case γ = 1.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2003
ISSN: 0046-5755
DOI: 10.1023/b:geom.0000006576.88682.3b