A modulus and an extremal form of a foliation

• Autorzy: Blachowska D.
• Języki publikacji: EN

Abstrakty

EN

We prove that the p-modulus of the foliation is conformal invariant. We study the problem of existing of the extremal form for a foliaton on Riemannian manifold. We also compute the value of p-modulus and the extremal form for k-dimensional foliation given by a submersion.

Słowa kluczowe

EN

differential mappings; foliation; Riemannian manifold; quasiconformal mappings

PL

wielokrotności Riemanniana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 4
• Strony: 939--954
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Blachowska D.

• University of Łódź, Faculty of Mathematics, Banacha 22, 90-238 Łódź

Bibliografia

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• [Fu] B. Fuglede, Extremal lengh and functional completion, Acta Math. 98 (1957), 171-219.
• [Kr] V. V. Krivov, A notion of generalized modulus and its application in the theory of quasiconformal mappings, Complex Analysis, Warsaw 1979, 185-198.
• [Pi] A. Pierzchalski, The k-module of level sets of differential mappings, Scientific Communications of the Czechoslovakian-GDR-Polish School on Differential Geometry at Boszkowo (1978), Math. Inst. Polish Acad. Sci., Warsaw, 1979,180-185.
• [Su] K. Suominen, Quasiconformal maps in manifolds, Ann. Acad. Sci. Fennicae, Series A, I. Mathematica, 393, Helsinki, 1966.