Items Authored by Rukimbira, Philippe
نویسندگان
چکیده
منابع مشابه
On K-contact Manifolds with Minimal Number of Closed Characteristics
We prove that closed simply connected K-contact manifolds with minimal number of closed characteristics are homeomorphic to odd-dimensional spheres.
متن کاملFibrations and contact structures
We prove that a closed 3-dimensional manifold is a torus bundle over the circle if and only if it carries a closed nonsingular 1-form which is linearly deformable into contact forms.
متن کاملFoliations and contact structures
We introduce a notion of linear deformation of codimension one foliations into contact structures and describe some foliations which deform instantly into contact structures and some which do not. Restricting ourselves to closed smooth manifolds, we obtain a necessary and su‰cient condition for a foliation defined by a closed nonsingular 1-form to be linearly deformable into contact structures....
متن کاملTopology and closed characteristics of K-contact manifolds
We prove that the characteristic flow of a K-contact form has at least n+1 closed leaves on a closed 2n+1-dimensional manifold. We also show that the first Betti number of a closed sasakian manifold with finitely many closed characteristics is zero.
متن کاملRank and k-nullity of contact manifolds
We prove that the dimension of the 1-nullity distributionN(1) on a closed Sasakianmanifold M of rank l is at least equal to 2l−1 provided thatM has an isolated closed characteristic. The result is then used to provide some examples ofK-contact manifolds which are not Sasakian. On a closed, 2n+ 1-dimensional Sasakian manifold of positive bisectional curvature, we show that either the dimension o...
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