@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/} }
TY - CHAP AU - Hoffman, David AU - White, Brian TI - On the number of minimal surfaces with a given boundary BT - Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon AU - Collectif ED - Hijazi Oussama T3 - Astérisque PY - 2008 SP - 207 EP - 224 IS - 322 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2008__322__207_0/ LA - en ID - AST_2008__322__207_0 ER -
%0 Book Section %A Hoffman, David %A White, Brian %T On the number of minimal surfaces with a given boundary %B Géométrie différentielle, physique mathématique, mathématiques et société (II) - Volume en l'honneur de Jean-Pierre Bourguignon %A Collectif %E Hijazi Oussama %S Astérisque %D 2008 %P 207-224 %N 322 %I Société mathématique de France %U http://www.numdam.org/item/AST_2008__322__207_0/ %G en %F AST_2008__322__207_0
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/
[1] Genus-one helicoids from a variational point of view", Comment Math. Helv. 83 (2008), p. 767-813. | MR | Zbl
& - "[2] The geometry of genus-one helicoids", to appear in Comment. Math. Helv. | MR | Zbl
& , "[3] Helicoid-like minimal surfaces of arbitrary genus in ", in preparation.
& , "[4] Extreme curves bound embedded minimal surfaces of the type of the disc", Math. Z. 158 (1978), p. 137-145. | DOI | EuDML | MR | Zbl
& - "[5] Degree theory on oriented infinite-dimensional varieties and the Morse number of minimal surfaces spanning a curve in ", Manuscripta Math. 48 (1984), p. 139-161. | DOI | EuDML | MR | Zbl
- "[6] Curvature estimates and compactness theorems in -manifolds for surfaces that are stationary for parametric elliptic functionals", Invent. Math. 88 (1987), p. 243-256. | DOI | EuDML | MR | Zbl
- "[7] The space of -dimensional surfaces that are stationary for a parametric elliptic functional", Indiana Univ. Math. J. 36 (1987), p. 567-602. | DOI | MR | Zbl
, "[8] New applications of mapping degrees to minimal surface theory", J. Differential Geom. 29 (1989), p. 143-162. | DOI | MR | Zbl
, "[9] Which ambient spaces admit isoperimetric inequalities for submanifolds?", to appear in J. Differential Geometry, 2008. | MR | Zbl
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