Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
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 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 -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 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
Existence results for embedded minimal surfaces of controlled topological type, I
Existence results for the prescribed Scalar curvature on
This paper is devoted to the existence of conformal metrics on with prescribed scalar curvature. We extend well known existence criteria due to Bahri-Coron.
Exotic Deformations of Calabi-Yau Manifolds
We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) -dimensional symplectic manifolds endowed with a -tamed almost complex structure and with a nowhere vanishing and normalized section of the bundle satisfying the condition .We study the moduli space of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that is non obstructed. Finally, we present several examples of QIS manifolds.
Exotic smooth structures on nonpositively curved symmetric spaces.