Area and length of spherical cycloid
Area minimizing hypersurfaces with isolated singularities.
Area minimizing hypersurfaces with precribed volume and boundary.
Area swept by line segment under a planar motion.
Area-stationary surfaces in neutral Kähler 4-manifolds.
Arithmetisch definierte Gruppen mit Galoisoperation.
Arnold's projective plane and -matrices.
Around heat decay on forms and relations of nilpotent Lie groups
Around the bounded curvature conjecture in general relativity
We report on recent progress obtained on the construction and control of a parametrix to the homogeneous wave equation , where is a rough metric satisfying the Einstein vacuum equations. Controlling such a parametrix as well as its error term when one only assumes bounds on the curvature tensor of is a major step towards the proof of the bounded curvature conjecture.
Aspects of affine toda field theory
Aspects of Geometric Quantization Theory in Poisson Geometry
This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
Aspects of parabolic invariant theory
A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.
Aspherical Manifolds of Standard Linear Type.
Associated families of pluriharmonic maps and isotropy.
Associative and Lie deformations of Poisson algebras
Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras.
Astheno-Kähler structures on Calabi-Eckmann manifolds
We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Asymmetric unbounded liquid bridges
Asymptotes des courbes tracées sur les variétés de Hadamard
Asymptotic analysis of singular solutions of the scalar and mean curvature equations.
Asymptotic analysis of the equichordal problem.