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Foliations by surfaces of a peculiar class

Adam Bartoszek; Paweł Walczak — 2008

Annales Polonici Mathematici

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.

Weitzenböck Formula for SL(q)-foliations

Adam Bartoszek; Jerzy Kalina; Antoni Pierzchalski — 2010

Bulletin of the Polish Academy of Sciences. Mathematics

A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.

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