Existence of embedded solutions of Plateau's problem
Existence of flat tori in analytic manifolds of nonpositive curvature
Existence of flats in manifolds of nonpositive curvature.
Existence of generalized affine symmetric spaces of arbitrary order
Existence of generalized symmetric Riemannian spaces with solvable isometry group
Existence of geodesics for the Lorentz metric of a stationary gravitational field
Existence of H-bubbles in a perturbative setting.
Given a C1 function H: R3 --> R, we look for H-bubbles, i.e., surfaces in R3 parametrized by the sphere S2 with mean curvature H at every regular point..
Existence of Hermitian n-Symmetric Spaces and of Non-Commutative Naturally Reductive Spaces.
Existence of Holomorphic Functions on Almost Complex Manifolds.
Existence of immersed tori in manifolds of nonpositive curvature.
Existence of metrics with harmonic curvature and non parallel Ricci tensor.
Existence of Metrics With Prescribed Ricci Curvature: Local Theory.
Existence of -almost tangent structures
Existence of periodic orbits for vector fields via Fuller index and the averaging method.
Existence of Polarized F-structures on Collapsed Manifolds with Bounded Curvature and Diameter.
Existence of positive harmonic functions on groups and on covering manifolds
Existence of skyrmions
Summary: We give an introduction to the Skyrme model from a mathematical point of view. Hereby, we show that it is difficult to solve the field equation even by means of the classical ansatz, the so-called hedgehog ansatz. Our main result is an extended existence proof for solutions of the field equation in the hedgehog ansatz.
Existence of star-products on exact symplectic manifolds
It is shown that if a manifold admits an exact symplectic form, then its Poisson Lie algebra has non trivial formal deformations and the manifold admits star-products. The non-formal derivations of the star-products and the deformations of the Poisson Lie algebra of an arbitrary symplectic manifold are studied.
Existence of Surfaces with Prescribed Mean Curvature Vector.
Existence results for embedded minimal surfaces of controlled topological type, II