Critical points at infinity in the variational calculus
Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions.
Critical Riemannian 4-manifolds.
Crofton formulas in projective Finsler spaces.
Crofton measures in polytopal Hilbert geometries.
Cross ratios, Anosov representations and the energy functional on Teichmüller space
We study two classes of linear representations of a surface group: Hitchin and maximal symplectic representations. We relate them to cross ratios and thus deduce that they are displacing which means that their translation lengths are roughly controlled by the translations lengths on the Cayley graph. As a consequence, we show that the mapping class group acts properly on the space of representations and that the energy functional associated to such a representation is proper. This implies the existence...
CR-products of S-manifolds
CR-structure on Seifert manifolds.
CR-structures on the translated sphere bundle.
CR-submanifolds of a locally conformal Kaehler space form.
CR-submanifolds of a Lorentzian para-Sasakian manifold.
CR-submanifolds of a nearly trans-Sasakian manifold.
CR-submanifolds of Kählerian product manifolds.
CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions
We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.
CR-warped product submanifolds of nearly Kaehler manifolds.
Crystallizing patterns of BGG sequences
Cubic form geometry for surfaces in .
Cubic forms on Riemannian surfaces
Cubic Graphs and the First Eigenvalue of a Riemann Surface.
Cubic ruled surfaces with constant distribution parameter in .