Torre de sillas de montar

En geometría diferencial, una torre de sillas de montar (nombre en inglés: saddle tower) es una familia de superficies mínimas que generalizan el periódico único de la segunda superficie de Scherk, de modo que adquiere N-simetría (N> 2) alrededor de un eje.^[1]^[2]

Estas superficies son las únicas superficies mínimas periódicamente incrustadas propiamente en R³ con genus cero y un número finito de finales del tipo de Scherk en el cociente.^[3]

↑ H. Karcher, Embedded minimal surfaces derived from Scherk's examples, Manuscripta Math. 62 (1988) pp. 83–114.
↑ H. Karcher, Construction of minimal surfaces, in "Surveys in Geometry", Univ. of Tokyo, 1989, and Lecture Notes No. 12, SFB 256, Bonn, 1989, pp. 1–96.
↑ Joaquın Perez and Martin Traize, The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends, Transactions of the American Mathematical Society, Volume 359, Number 3, March 2007, Pages 965–990

[1] H. Karcher, Embedded minimal surfaces derived from Scherk's examples, Manuscripta Math. 62 (1988) pp. 83–114.

[2] H. Karcher, Construction of minimal surfaces, in "Surveys in Geometry", Univ. of Tokyo, 1989, and Lecture Notes No. 12, SFB 256, Bonn, 1989, pp. 1–96.

[3] Joaquın Perez and Martin Traize, The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends, Transactions of the American Mathematical Society, Volume 359, Number 3, March 2007, Pages 965–990

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