Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions.
Critical points of the steady state of a Fokker-Planck equation.
Critical Riemannian 4-manifolds.
Critical sets in 3-space
Critical sets of 2-dimensional compact manifolds.
Critical values lie on a line.
Crochet de Jacobi non local sur un revêtement et ses applications à l’étude de l’équation de Burgers
Cross-sections of solution funnels in Banach spaces
Cup -produit sur les algèbres graduées avec symétries et algèbres de Gerstenhaber
Dans ce papier, on définit, dans le cadre des algèbres graduées avec symétries la notion de cup -produit introduite par Steenrod dans [11]. En utilisant le cup 1-produit, on montre que la cohomologie associée à une algèbre graduée avec symétries est une algèbre de Gerstenhaber.
Currents on Lie groups.
Curvature and the equivalence problem in sub-Riemannian geometry
These notes give an introduction to the equivalence problem of sub-Riemannian manifolds. We first introduce preliminaries in terms of connections, frame bundles and sub-Riemannian geometry. Then we arrive to the main aim of these notes, which is to give the description of the canonical grading and connection existing on sub-Riemann manifolds with constant symbol. These structures are exactly what is needed in order to determine if two manifolds are isometric. We give three concrete examples, which...
Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals.
Curvature of lift spaces
Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
Curvature Pinching and Eigenvalue Rigidity for Minimal Submanifolds.
Curved Casimir operators and the BGG machinery.
Curves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.
Curves with finite turn
In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence of finiteness...
Cusp Forms and the Index Theorem for Manif olds with Boundary.
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms.