We describe a one-parameter family of codimension-2 Riemannian foliations of S3 which are not transversely homogeneous. The example shows that the comparison theorem for Riemannian foliations of Kamber-Ruh-Tondeur [4] fails without an additional hypothesis.
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Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Dong, Yuxin
Lin, Hezi
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Fujian Normal Univ, Coll Math & Informat & Fjklmaa, Fuzhou 350108, Fujian, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Lin, Hezi
Wei, Shihshu Walter
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Univ Oklahoma, Dept Math, Norman, OK 73019 USAFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China