About duality and Killing tensors
Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.
About the Calabi problem: a finite-dimensional approach
Let us consider a projective manifold and a smooth volume form on . We define the gradient flow associated to the problem of -balanced metrics in the quantum formalism, the -balancing flow. At the limit of the quantization, we prove that (see Theorem 1) the -balancing flow converges towards a natural flow in Kähler geometry, the -Kähler flow. We also prove the long time existence of the -Kähler flow and its convergence towards Yau’s solution to the Calabi conjecture of prescribing the...
About the Dirac operator.
About the Symposium, Foreword, Contents
About twistor spinors with zero in Lorentzian geometry.
Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows
We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
Absolute gradient bound for surfaces of constant mean curvature
Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds.
Abstract velocity functors
Acceleration properties of robot-manipulators.
Achèvement de la démonstration géométrique élémentaire donnée par Steiner pour ce théorème : «le cercle possède la plus grande parmi toutes les figures planes isopérimètres»
Actions de groupes sur les -variétés non séparées et feuilletages de codimension un
Actions des groupes de Lie presque simples et positivité de la -courbure
Actions of discrete groups on nonpositively curved spaces.
Adaptation globale de la méthode de Weingarten et réalisations de disques ajustés
Adapted complex structures and Riemannian homogeneous spaces
We prove that every compact, normal Riemannian homogeneous manifold admits an adapted complex structure on its entire tangent bundle.
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Addendum to "Existence of Hermitian n-Symmetric Spaces and of Non-commutative Naturally Reductive Spaces".
Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.
Adjunktionsfähige zweidimensionale Kugel- und Linienmannigfaltigkeiten im dreidimensionalen euklidischen Raum