Cusp closing in rank one symmetric spaces.
Cut and singular loci up to codimension 3
We give a new and detailed description of the structure of cut loci, with direct applications to the singular sets of some Hamilton-Jacobi equations. These sets may be non-triangulable, but a local description at all points except for a set of Hausdorff dimension is well known. We go further in this direction by giving a classification of all points up to a set of Hausdorff dimension .
Cut loci of closed surfaces without conjugate points
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane*
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is considered. In the previous works [Moiseev and Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009004; Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009031], extremal trajectories were defined, their local and global optimality were studied. In this paper the global structure of the exponential mapping is described. On this basis an explicit characterization of the cut locus and Maxwell set is obtained....
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane*
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is considered. In the previous works [Moiseev and Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009004; Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009031], extremal trajectories were defined, their local and global optimality were studied. In this paper the global structure of the exponential mapping is described. On this basis an explicit characterization of the cut locus and Maxwell set is obtained....
Cut locus and parallel circles of a closed curve on a Riemannian plane admitting total curvature.
Cyclic actions on - and -bundles over
Cyclic operads and homology of graph complexes
Cyclic properties of the harmonic sequence of surface in CPn.
Cyclic structures of geometric objects involving a connection and Lie derivatives
Cyclides of rotation of the Galileian space . (Drehzykliden des galileischen Raumes .)
Cylinders on surfaces.
Cylindrical contact homology of subcritical Stein-fillable contact manifolds.
Cylindrical Tzitzeica curves implies forced harmonic oscillators.
Cylindrically Taut Immersions.
-connections compatible with homogeneous metric on the cotangent bundle.
Dans le fibré de l'espace des lacets libres, la fibre n'est pas, en général, totalement non cohomologue a zéro.
Darboux motions in
Darboux transforms of Dupin surfaces
We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.
Darbouxovy křivky nadplochy