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Minimal spheres and other conformal variational problems. (English) Zbl 0535.53050
Semin. on minimal submanifolds, Ann. Math. Stud. 103, 169-176 (1983).
[For the entire collection see Zbl 0521.00014.]
The relationship between energy integrals and area or volume integrals is described. We also state some of the results on existence of closed minimal surfaces in Riemannian manifolds due to Schoen-Yau and Sacks- Uhlenbeck. [This is a report on results having appeared elsewhere.]

MSC:
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
49Q05 Minimal surfaces and optimization