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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive
Zh. Mat. Fiz. Anal. Geom., 2009 Volume 5, Number 2, Pages 170–191 (Mi jmag123)
Parabolic foliations on three-manifolds

V. Krouglov

Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: We prove that every closed orientable three-manifold admits a parabolic foliation.

Key words and phrases: parabolic foliation, extrinsic curvature.

MSC: 53C12, 57R30

Received: 10.10.2008

Language: English



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