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
Christoffer Symbols and Connection Forms on Infinite-Dimensional Fibre Bundles
Circles and spheres in pseudo-Riemannian geometry.
Circle-valued Morse theory and Reidemeister torsion.
Classes caractéristiques exotiques et -connexité des espaces de connexions
Le but de ce travail est double : d’une part, généraliser la construction des classes exotiques pour l’appliquer à d’autres problèmes géométriques que ceux issus des -structures ; d’autre part, préciser, grâce à la notion de -connexité, remplaçant avantageusement les formules de dérivation utilisées précédemment, l’argument d’invariance homotopique permettant d’obtenir des théorèmes de rigidité, montrant simultanément pourquoi la seule connexité des ensembles de connexions considérés ne suffit...
Classes caractéristiques isotropes.
Classes caractéristiques secondaires des fibrés plats
Classical differential geometry with Christoffel symbols of Ehresmann -connections
We give a method based on an idea of O. Veblen which gives explicit formulas for the covariant derivatives of natural objects in terms of the Christoffel symbols of a symmetric Ehresmann -connection.
Classical limit of a quantum particle in an external Yang-Mills field
Classicfication Locale Simultanée de Deux Formes Symplectiques Compatibles.
Classification de feuilletages totalement géodésiques de codimension un.