On the number of minimal surfaces with a given boundary

Hoffman, David ; White, Brian

Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon, Astérisque, no. 322 (2008), pp. 207-224.

MR Zbl

@incollection{AST_2008__322__207_0,
     author = {Hoffman, David and White, Brian},
     title = {On the number of minimal surfaces with a given boundary},
     booktitle = {G\'eom\'etrie diff\'erentielle, physique math\'ematique, math\'ematiques et soci\'et\'e (II) - Volume en l'honneur de Jean-Pierre Bourguignon},
     editor = {Hijazi Oussama},
     series = {Ast\'erisque},
     pages = {207--224},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {322},
     year = {2008},
     mrnumber = {2521657},
     zbl = {1184.53012},
     language = {en},
     url = {http://www.numdam.org/item/AST_2008__322__207_0/}
}

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Hoffman, David; White, Brian. On the number of minimal surfaces with a given boundary, dans Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon, Astérisque, no. 322 (2008), pp. 207-224. http://www.numdam.org/item/AST_2008__322__207_0/

Bibliographie
Cité par

[1] D. Hoffman & B. White - "Genus-one helicoids from a variational point of view", Comment Math. Helv. 83 (2008), p. 767-813. | MR | Zbl

[2] D. Hoffman & B. White, "The geometry of genus-one helicoids", to appear in Comment. Math. Helv. | MR | Zbl

[3] D. Hoffman & B. White, "Helicoid-like minimal surfaces of arbitrary genus in $S^{2} \times R$ ", in preparation.

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[7] B. White, "The space of $m$ -dimensional surfaces that are stationary for a parametric elliptic functional", Indiana Univ. Math. J. 36 (1987), p. 567-602. | DOI | MR | Zbl

[8] B. White, "New applications of mapping degrees to minimal surface theory", J. Differential Geom. 29 (1989), p. 143-162. | DOI | MR | Zbl

[9] B. White, "Which ambient spaces admit isoperimetric inequalities for submanifolds?", to appear in J. Differential Geometry, 2008. | MR | Zbl