Regular homotopy and total curvature. II: Sphere immersions into 3-space.
Regular projectively Anosov flows on three-dimensional manifolds
We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of -models. We also apply our method to rigidity problems of some group actions.
Regular projectively Anosov flows with compact leaves
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...
Reidemeister torsion and integrable Hamiltonian systems.
Reidemeister-Turaev torsion modulo one of rational homology threespheres.
Reidemeister-type moves for surfaces in four-dimensional space
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...
Relations among Donaldson polynomials of certain algebraic surfaces, I.
Relations among Donaldson polynomials of certain algebraic surfaces, II.
Relations de conjugaison et de cobordisme entre certains feuilletages
Relèvements Dans Le Fibré Conormal D'Un Feuilletage D'Une Variété Riemannienne
Remarks on minimal round functions
We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.
Remarks on nilpotent Lie algebras of vector fields.
Remarks on non-local invariants of Martinet's singular symplectic structures
Remarks on the Cobordism Group of Surface Diffeomorphisms.
Remarks on the symmetries of planar fronts.
A front is the projection on the plane of a Legendrian immersion of a circle in the space of the contact elements of that plane. I analyze the symmetries of a generic front with respect to the group generated by the involutions reversing the orientation of the plane, the orientation of the preimage circle and the coorientation of the contact plane.
Remarque sur la cohomologie de l'algèbre de Lie des champs de vecteurs sur la sphère
Removing Handles from Non-Singular Algebraic Surfaces in CP n+1.
Representation Forms for Metacyclic groups.
Representations of the Kauffman bracket skein algebra of the punctured torus
We describe the action of the Kauffman bracket skein algebra on some vector spaces that arise as relative Kauffman bracket skein modules of tangles in the punctured torus. We show how this action determines the Reshetikhin-Turaev representation of the punctured torus. We rephrase our results to describe the quantum group quantization of the moduli space of flat SU(2)-connections on the punctured torus with fixed trace of the holonomy around the boundary.
Residues of singular holomorphic foliations