Foliations by surfaces of a peculiar class
Volume 94 / 2008
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.