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This paper concerns projectively Anosov flows with smooth stable and unstable
foliations and on a Seifert manifold . We show that if the
foliation or contains a compact leaf, then the flow is
decomposed into a finite union of models which are defined on and
bounded by compact leaves, and therefore the manifold is homeomorphic to the 3-torus.
In the proof, we also obtain a theorem which classifies codimension one foliations on
Seifert manifolds with compact leaves which are incompressible...
We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in (or ), for the cases n=2 or n=3. In a previous paper we have generalized the notion of the Reidemeister moves of classical knot theory. In this paper we examine in more detail the above mentioned dimensions. Examples are given; in particular we examine projections of twist-spun knots. Knot moves are given which demonstrate the triviality of the 1-twist spun trefoil. Another application is a smooth...
We give some criteria for the equisingularity of families of affine plane curves.
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then [...] for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a viewpoint of Lie algberas.
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