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
Existence results for embedded minimal surfaces of controlled topological type, I
Existence results for embedded minimal surfaces of controlled topological type, III
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.
Expanding maps on Cantor sets and analytic continuation of zeta functions
Expansion of embedded curves with tuning angle greater than - ... .
Explicit geodesic graphs on some H-type groups
A homogeneous Riemannian manifold is called a “g.o. space” if every geodesic on arises as an orbit of a one-parameter subgroup of . Let be such a “g.o. space”, and an -invariant vector subspace of such that . A geodesic graph is a map such that is a geodesic for every . The author calculates explicitly such geodesic graphs for certain special 2-step nilpotent Lie groups. More precisely, he deals with “generalized Heisenberg groups” (also known as “H-type groups”) whose center has...
Explicit Solutions of Classical Generalized Toda Models.
Exploration d’un mode d’écriture de la généralité : l’article de Poincaré sur les lignes géodésiques des surfaces convexes (1905)
L’analyse de l’article de Poincaré sur les géodésiques fait apparaître qu’il entretient des liens complexes avec les travaux antérieurs de Poincaré en mécanique céleste. Nous montrerons que le problème des géodésiques des surfaces convexes est traité comme un paradigme grâce auquel Poincaré explicite une méthode qui n’était présentée qu’à l’état d’ébauche dans ses ouvrages de mécanique céleste. Cette étude de cas permet ainsi de mettre en évidence l’utilisation par Poincaré d’une technique d’écriture...
Exponential mapping for Lie groupoids
Exponential mapping for Lie groupoids. Applications
Exposition analytique de la théorie des surfaces