Conjecture on bounded holonomy and compact regular holonomy
Conjecture on bounded holonomy and compact regular holonomy
Let be a Riemannian foliation with bounded holonomy, and suppose that no leaf has infinite fundamental group. Let denote the holonomy group at . Bounded-holonomy conjecture. The group is compact and the holonomy is regular. This is presented as a possible relation between bounded holonomy, compactness, and regularity; the supplied text gives no resolution.
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Primary source
Llohann D. Sperança, “On Riemannian Foliations over Positively Curved Manifolds”, arXiv:1602.01046 (2016).
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