The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in .
The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in time and decays with a quantitative rate to the trivial solution. The proof uses the robust vector field method. It makes use of the decay properties of the linear wave equation on Kerr spacetime, in particular the improved decay rates in the region .
The Order of Helical Minimal Imbeddings of Strongly Harmonic Manifolds.
The Painlevé III equation and the Iwasawa decomposition.
The Paneitz equation in hyperbolic space
The Plancherel formula for the pseudo-riemannian space
The Plateau-Douglas problem for nonorientable minimal surfaces.
The Poincaré-Lelong equation on complete Kähler manifolds
The Poisson boundary for rank one manifolds and their compact lattices.
The Poisson formula for groups with hyperbolic properties.
The polar curve of a foliation on
We study some properties of the polar curve associated to a singular holomorphic foliation on the complex projective plane . We prove that, for a generic center , the curve is irreducible and its singular points are exactly the singular points of with vanishing linear part. We also obtain upper bounds for the algebraic multiplicities of the singularities of and for its number of radial singularities.
The prescribed mean curvature equation for a revolution surface with Dirichlet condition.
The product formula for the spherical functions on symmetric spaces of noncompact type.
The projective interpretation of the eight 3-dimensional homogeneous geometries.
The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions
Our aim is to study the principal bundles determined by the algebra of quaternions in the projective model. The projectivization of the conformal model of the Hopf fibration is considered as example.
The proportionality constant for the simplicial volume of locally symmetric spaces
We follow ideas going back to Gromov's seminal article [Publ. Math. IHES 56 (1982)] to show that the proportionality constant relating the simplicial volume and the volume of a closed, oriented, locally symmetric space M = Γ∖G/K of noncompact type is equal to the Gromov norm of the volume form in the continuous cohomology of G. The proportionality constant thus becomes easier to compute. Furthermore, this method also gives a simple proof of the proportionality principle for arbitrary manifolds.
The (psi,xi,eta,g) Subspaces of the Space with the Phi(4,-2) Structure
The p-spectrum of the Laplacian on compact hyperbolic three manifolds.
The push-out space of immersed spheres.
The Radon Transform for Forms of Type (1, 1) on a Complex Projective Space.