(1) Department of Natural Science, Ryukoku University, Fushimi-ku, Kyoto 612, Japan;(2) Inst. Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21.945-970 Rio de Janeiro-RJ, Brazil
Abstract:
One of the main tools in the study of real foliations of codimension one is the use of transverse sections. Given a codimension one real foliation on a compact manifold there is always a transverse circle and the topology of its embedding into the ambient manifold often has important consequences on the global behavior of the foliation; as in Haefliger’s Theorem and Novikov’s c7ompact leaf theorem for instance.