Mathematical Notes

, Volume 58, Issue 6, pp 1302–1305 | Cite as

A test for compactness of a foliation

  • I. A. Mel'nikova


We investigate foliations on smooth manifolds that are determined by a closed 1-form with Morse singularities. We introduce the notion of the degree of compactness and prove a test for compactness.


Manifold Smooth Manifold Morse Singularity 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • I. A. Mel'nikova
    • 1
  1. 1.Moscow State UniversityUSSR

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