On the genus of triply periodic minimal surfaces

Journal of Differential Geometry

Volumn 79, Issue 2, 2008, Pages 243-275

  Traizet, Martin ^a  

^a UNIVERSITÉ DE TOURS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46849121997     PISSN: 0022040X     EISSN: None     Source Type: Journal    
DOI: 10.4310/jdg/1211512641     Document Type: Article

References (9)

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3. D. Hoffman, Some basic facts, old and new, about triply periodic embedded mini-mal surfaces, in 'Colloque de Physique', 1990, Colloque, 7, Supplément au Journal de Physique, 51, December 1990, 197-208, MR1090149
4. H. Karcher, Construction of higher genus embedded minimal surfaces, in 'Geom. and Top. of Submanifolds III, World Scientific, 1990, 174-191, MR1344467, Zbl 0737.53007.
5. H. Masur, The extension of the Weil Petersson metric to the boundary of Teichmuller space, Duke Math. J. 43 (1976) 623-635, Zbl 0358.32017.
6. W.H. Meeks III, The Theory of Triply-Periodic Minimal Surfaces, Indiana Univ. Math. J. 39(3) (1990) 877-936, MR1078743, Zbl 0721.53057.
7. M. Shiffman, On Surfaces of Stationary Area Bounded by Two Circles, or Convex Curves, in Parallel Planes, Annals of Math. 63 (1956) 77-90, MR0074695, Zbl 0070.16803.
8. M. Traizet, Adding handles to Riemann's minimal surfaces. J. Inst. Math. Jussieu 1 (2002) 145-174, MR1954942, Zbl 1051.53006.
9. An embedded minimal surface with no symmetries, J. Differential Geometry 60(1) (2002) 103-153, MR1924593, Zbl 1054.53014.