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Pitts, Jon T.; Rubinstein, J. H.

Equivariant minimax and minimal surfaces in geometric three-manifolds. (English) Zbl 0665.49034

Bull. Am. Math. Soc., New Ser. 19, No. 1, 303-309 (1988).
New infinite families of minimal surfaces in \(S^ 3\) are presented, which are constructed by a minimax procedure.
Reviewer: G.Dziuk

Cited in 18 Documents

MSC:

49Q05 Minimal surfaces and optimization
49Q20 Variational problems in a geometric measure-theoretic setting
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
49J35 Existence of solutions for minimax problems

Keywords:

infinite families of minimal surfaces
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References:

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[9] J. Pitts and J. H. Rubinstein, Minimal surfaces of bounded topological type in three-manifolds, preprint. · Zbl 0602.49028
[10] Jon T. Pitts and J. H. Rubinstein, Applications of minimax to minimal surfaces and the topology of 3-manifolds, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986) Proc. Centre Math. Anal. Austral. Nat. Univ., vol. 12, Austral. Nat. Univ., Canberra, 1987, pp. 137 – 170.
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