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.
Exponential mapping for Lie groupoids
Exponential mapping for Lie groupoids. Applications
Extended moduli spaces of flat connections on Riemann surfaces.
Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically ,
Extension de métriques riemanniennes et type de croissance
Let be a noncompact differentiable manifold and an open proper submanifold endowed with a complete Riemannian metric . We prove that can be extended all over to a complete Riemannian metric having the same growth-type as .
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension phenomena for holomorphic geometric structures.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
These are expository notes from the 2008 Srní Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.