Characterizations of the nonlinear connection in the higher order geometry.
Characterizations of the sphere by the curvature of the second fundamental form
Characterizations of the sphere in by means of the pseudoparallel mean curvature vector field
Characterizing weakly symmetric spaces as Gelfand pairs.
Characters of the irreducible highest weight modules over the virasoro and super-virasoro algebras
Charakterisierung symmetrischer R-Räume durch ihre Einheitsgitter.
Charles Ehresmann's concepts in differential geometry
We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.
Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants.
Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds.
Cheeger's inequality with a boundary term.
Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semi-symmetric metric connection.
Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost...
Chen's inequality in the Lagrangian case
In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex space form....
Chern classes and Bochner-Kaehler metrics
Chern classes of integral submanifolds of some contact manifolds.
Chern classes of vector bundles with singular connections
Si fa vedere che alcune classi di Chern di fibrati vettoriali complessi possono essere costruite non solo partendo da connessioni ma, sotto certe condizioni, anche da connessioni lineari singolari. Nel caso particolare del fibrato tangente possono essere costruite anche a partire da metriche singolari. Viene fatto uso in modo essenziale della -coomologia di de Rham (introdotta da Cheeger e Teleman).
Chern forms and the Riemann tensor for the moduli space ofcurves.
Chernklassen von Hermite-Einstein-Vektorbündeln.
Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group.
Chern-Simons terms as an example of the relations between mathematics and physics