Characterization of order 3 algebraic immersed minimal surfaces of S3

被引：5
|
作者：
Perdomo, Oscar Mario [1 ]
机构：
[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA
来源：
GEOMETRIAE DEDICATA | 2007年 / 129卷 / 01期
关键词：
minimal surfaces; alegbraic sufaces;
D O I：
10.1007/s10711-007-9190-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that if phi M -> S-3 is a minimal immersion of a compact surface and phi(M) = S-3 boolean AND f(-1)( 0), for some homogeneous polynomial f of degree 3 on R-4, then, M is a torus and phi(M) is one of the examples given by Lawson (1970, Complete minimal surfaces in S-3. Ann. Math. 92(2), 335-374).
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页码：23 / 34
页数：12
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