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
Classical limit of the matrix elements on quantized Lobachevskii plane.
Classicfication Locale Simultanée de Deux Formes Symplectiques Compatibles.
Classification analytique de structures de Poisson
Notre étude porte sur une catégorie de structures de Poisson singulières holomorphes au voisinage de et admettant une forme normale formelle polynomiale i.e. un nombre fini d’invariants formels. Les séries normalisantes sont divergentes en général. On montre l’existence de transformations normalisantes holomorphes sur des domaines sectoriels de la forme , où est un monôme associé au problème. Il suit une classification analytique.
Classification de feuilletages totalement géodésiques de codimension un.
Classification der Flächen nach der Transformationsgruppe ihrer geodätischen Curven [Book]
Classification des densités vectorielles factorisées
Classification géométrique des structures internes des systèmes dynamiques à deux spins
Classification of (1,1) tensor fields and bihamiltonian structures
Consider a (1,1) tensor field J, defined on a real or complex m-dimensional manifold M, whose Nijenhuis torsion vanishes. Suppose that for each point p ∈ M there exist functions , defined around p, such that and , j = 1,...,m. Then there exists a dense open set such that we can find coordinates, around each of its points, on which J is written with affine coefficients. This result is obtained by associating to J a bihamiltonian structure on T*M.
Classification of -dimensional homogeneous weakly Einstein manifolds
Y. Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a super-Einstein manifold introduced earlier by A. Gray and T. J. Willmore in the context of mean-value theorems in Riemannian geometry. The dimension is the most interesting case, where...
Classification of 4-Dimensional Generalized Symmetric Planes.
Classification of 4-dimensional homogeneous D'Atri spaces
The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold satisfying the first odd Ledger condition is said to be of type . The classification of all 3-dimensional D’Atri spaces is well-known. All of them are locally naturally reductive. The first attempts to classify all 4-dimensional homogeneous D’Atri spaces were done in the papers...
Classification of 4-Dimensional Symmetric Planes.
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
Classification of compact complex homogeneous spaces with invariant volumes.
Classification of compact homogeneous pseudo-Kähler manifolds.
Classification of compact homogeneous spaces with invariant symplectic structures.
Classification of complete minimal surfaces in R3 with total curvature 12... .