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Total curvature and volume of foliations on the sphere S 2

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

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

    Amine Fawaz

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  1. Amine Fawaz
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Correspondence to Amine Fawaz.

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Fawaz, A. Total curvature and volume of foliations on the sphere S 2 . centr.eur.j.math. 7, 660–669 (2009). https://doi.org/10.2478/s11533-009-0046-z

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  • DOI: https://doi.org/10.2478/s11533-009-0046-z

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