A+ CATEGORY SCIENTIFIC UNIT

Foliations by surfaces of a peculiar class

Volume 94 / 2008

Adam Bartoszek, Paweł Walczak Annales Polonici Mathematici 94 (2008), 89-95 MSC: 53C12, 53A30. DOI: 10.4064/ap94-1-7

Abstract

We classify surfaces in 3-dimensional space forms which have all the local conformal invariants constant and show that compact 3-manifolds of nonzero constant sectional curvature admit no foliations by such surfaces.

Authors

  • Adam BartoszekKatedra Geometrii
    Wydział Matematyki i Informatyki
    Uniwersytet Łódzki
    90-238 Łódź, Poland
    e-mail
  • Paweł WalczakKatedra Geometrii
    Wydział Matematyki i Informatyki
    Uniwersytet Łódzki
    90-238 Łódź, Poland
    and
    Instytut Matematyczny PAN
    00-956 Warszawa, Poland
    e-mail

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