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Geometriae Dedicata

, Volume 129, Issue 1, pp 23–34 | Cite as

Characterization of order 3 algebraic immersed minimal surfaces of S 3

  • Oscar Mario Perdomo
Original Paper

Abstract

In this paper we prove that if \(\phi M\to S^3\) is a minimal immersion of a compact surface and \(\phi(M)= S^3\cap f^{-1}(0)\) , 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).

Keywords

Minimal surfaces Alegbraic sufaces 

Mathematics Subject Classification (2000)

53A10 53C42 

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA

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