Foliations by surfaces of a peculiar class

Adam Bartoszek; Paweł Walczak

Annales Polonici Mathematici (2008)

  • Volume: 94, Issue: 1, page 89-95
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Adam Bartoszek, and Paweł Walczak. "Foliations by surfaces of a peculiar class." Annales Polonici Mathematici 94.1 (2008): 89-95. <http://eudml.org/doc/280207>.

@article{AdamBartoszek2008,
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.},
author = {Adam Bartoszek, Paweł Walczak},
journal = {Annales Polonici Mathematici},
keywords = {foliation; surface; local conformal invariants},
language = {eng},
number = {1},
pages = {89-95},
title = {Foliations by surfaces of a peculiar class},
url = {http://eudml.org/doc/280207},
volume = {94},
year = {2008},
}

TY - JOUR
AU - Adam Bartoszek
AU - Paweł Walczak
TI - Foliations by surfaces of a peculiar class
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 1
SP - 89
EP - 95
AB - 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.
LA - eng
KW - foliation; surface; local conformal invariants
UR - http://eudml.org/doc/280207
ER -

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