A note on transverse divergence and taut Riemannian foliations |
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Institution: | Department of Mathematics, University of Craiova, 13, Al.I. Cuza st., 200585, Craiova, Romania |
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Abstract: | In this note we give a characterization of taut Riemannian foliations using the transverse divergence. This result turns out to be a convenient tool in the case of some standard examples. Furthermore, we show that a classical tautness result of Haefliger can be obtained in our particular setting as a straightforward consequence. In the final part of the paper we obtain a tautness characterization for transversally oriented foliations with dense leaves. |
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Keywords: | Riemannian foliations Transverse divergence Taut foliations |
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