Foliated plateau problem, part II

Harmonic maps of foliations

Mikhael Gromov

Research output: Contribution to journalArticle

Abstract

Our basic results concerning harmonic maps are parallel to those in Part I [Gro11] about minimal subvarieties. First we produce compact harmonic foliations {Mathematical expression} by solving in some cases the asymptotic Dirichlet problem. Then we construct transversal measures by adopting the parabolic equation method of Eells and Sampson. Finally we indicate some applications to the rigidity and the pinching problems.

Original languageEnglish (US)
Pages (from-to)253-320
Number of pages68
JournalGeometric and Functional Analysis
Volume1
Issue number3
DOIs
StatePublished - Sep 1991

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Plateau's problem
Harmonic Maps
Foliation
Rigidity
Dirichlet Problem
Parabolic Equation
Harmonic

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

Cite this

Foliated plateau problem, part II : Harmonic maps of foliations. / Gromov, Mikhael.

In: Geometric and Functional Analysis, Vol. 1, No. 3, 09.1991, p. 253-320.

Research output: Contribution to journalArticle

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