Total curvature and volume of foliations on the sphere S 2

• Autorzy: Amine Fawaz
• Języki publikacji: EN

Abstrakty

EN

In this paper we study a curvature integral associated with a pair of orthogonal foliations on the Riemann sphere S 2 and we compute the minimal value of the volume of meromorphic foliations.

Słowa kluczowe

EN

Foliation; Geodesic curvature; Green’s function; Singular; Volume

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 660-669

Daty

wydano

2009-12-01

online

2009-10-31

Twórcy

autor

Amine Fawaz

• Department of Mathematics, The University of Texas of the Permian Basin, 4901 East University, Odessa, USA

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0046-z