Line Integration of Ricci Curvature and Conjugate Points in Lorentzian and Riemannian Manifolds.
Line vortices in the U(1) Higgs model
Linear connections compatible with the -structure on the Lagrangian spaces.
Linear Connections Compatible With the F(3,1)-structure on the Lagrangian Space
Linear connections for systems of second-order ordinary differential equations
Linear direct connections
In this paper we study the geometry of direct connections in smooth vector bundles (see N. Teleman [Tn.3]); we show that the infinitesimal part, , of a direct connection τ is a linear connection. We determine the curvature tensor of the associated linear connection As an application of these results, we present a direct proof of N. Teleman’s Theorem 6.2 [Tn.3], which shows that it is possible to represent the Chern character of smooth vector bundles as the periodic cyclic homology class of a...
Linear Growth Harmonic Functions on Complete Manifolds with Nonnegative Ricci Curvature.
Linear transformations of -connections in . II.
L'inégalité de Penrose
Lines vortices in the U(1) - Higgs model
For a given U(1)-bundle E over M = {x1, ..., xn}, where the xi are n distinct points of , we minimise the U(1)-Higgs action and we make an asymptotic analysis of the minimizers when the coupling constant tends to infinity. We prove that the curvature (= magnetic field) converges to a limiting curvature that we give explicitely and which is singular along line vortices which connect the xi. This work is the three dimensional equivalent of previous works in dimension two (see [3] and [4]). The...
Liouville forms in a neighborhood of an isotropic embedding
A Liouville form on a symplectic manifold is by definition a potential of the symplectic form . Its center is given by . A normal form for certain Liouville forms in a neighborhood of its center is given.
Liouville theorem for harmonic maps with potential.
Liouville theorems for exponentially harmonic functions on Riemannian manifolds.
Liouville theorems for harmonic maps.
Lipschitz convergence of manifolds of positive Ricci curvature with large volume.
Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent cones.
Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.
Local constraints on Einstein-Weyl geometries.
Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem.
Local coordinates for -character varieties of finite-volume hyperbolic 3-manifolds
Given a finite-volume hyperbolic 3-manifold, we compose a lift of the holonomy in with the -dimensional irreducible representation of in . In this paper we give local coordinates of the -character variety around the character of this representation. As a corollary, this representation is isolated among all representations that are unipotent at the cusps.