Minimal Foliations and Laminations

Victor Bangert
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Victor Bangert: Mathematisches Institut der Universität Freiburg

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 453-464 from Springer

Abstract: Abstract Usually one looks for a compact minimizer to a variational problem, as for example in he classical Plateau problem. Here we concentrate on problems in which the minimizers are noncompact and complete while the surrounding manifold is usually compact. This gives the area a dynamical flavor because notions like limit sets, recurrence, etc., naturally appear. Consequently the theory of dynamical systems and foliations will play an important role. Because of its great interest in Hamiltonian systems the theory of one-dimensional minimizers is best developed, cf. the lectures by Bolotin and Mañé at this congress, the lecture by Mather at the ICM 1986, and Section 3.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_38

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