Choi and Schoen (1985) have shown that for a positively Ricci curved three-fold M, the family of embedded minimal surfaces of a fixed genus is compact. It is of interest to know how much the positivity condition can be relaxed.
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Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Natl Inst Math Sci, Taejon, South KoreaHokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan
Oh, Yong-Geun
Ohta, Hiroshi
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Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648601, Japan
Korea Inst Adv Study, Seoul, South KoreaHokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan
Ohta, Hiroshi
Ono, Kaoru
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Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan
Korea Inst Adv Study, Seoul, South KoreaHokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan