A rigidity theorem for periodic minimal surfaces

Communications in Analysis and Geometry

Volumn 7, Issue 1, 1999, Pages 95-104

  Pérez, Joaquín ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17644433601     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1999.v7.n1.a3     Document Type: Article

References (16)

1. E. Calabi, Quelque applications de l'Analyse complex aux surfaces d'Aire minimal, Topics in Complex Manifolds, Les Presses de l'Université de Montréal (1968).
2. 3, J. Differential Geometry, 32 (1990), 65-76.
3. D. Hoffman and H. Karcher, Complete embedded minimal surfaces of finite total curvature, preprint.
4. D. Hoffman, H. Karcher and F. Wei, The genus one helicoid and the minimal surfaces that led to its discovery, Global Analysis and Modern Mathematics, Karen Uhlenbeck, editor, Publish or Perish Press (1993).
5. D. Hoffman and W.H. Meeks III, The strong halfspace theorem for minimal surfaces, Invent. Math. 101 (1990), 373-377.
6. H.B. Lawson, Jr. Lectures on minimal submanifolds, Publish or Perish Press, Berkeley (1971).
7. F. J. López and A. Ros, On embedded complete minimal surfaces of genus zero, J. Differential Geometry, 33 (1991), 293-300.
8. W.H. Meeks III, The theory of triply periodic minimal surfaces, Indiana Univ. Math. J. 39 (1990), 877-936.
9. W.H. Meeks III and H. Rosenberg, The global theory of doubly periodic minimal surfaces, Invent. Math. 97 (1989), 351-379.
10. W.H. Meeks III and H. Rosenberg, The geometry of periodic minimal surfaces, Comm. Math. Helv. 68 (1993), 538-578.
11. W.H. Meeks III and H. Rosenberg, The maximum principle at infinity for minimal surfaces in flat three manifolds, Comm. Math. Helv. 65, (1990), 255-270.
12. S. Montiel and A. Ros, Schrödinger operators associated to a holomorphic map, Proceedings Conference on Global Differential Geometry and Global Analysis, Berlin, 1990, Lecture Notes in Math. 1481, 147-174.
13. R. Osserman, A survey of minimal surfaces, vol. 1, Cambridge Univ. Press, New York (1989).
14. J. Pérez and A. Ros, Some uniqueness and nonexistence theorems for embedded minimal surfaces, Math. Ann. 295(3) (1993), 513-525.
15. A. Ros, Embedded minimal surfaces: forces, topology and symmetries, Calc. Var. 4 (1996), 469-496.
16. E. Toubiana, Un théorème d'unicité de l'hélicoïde, Ann. Inst. Fourier, Grenoble, 38 (1988), 121-132.