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Displaying 121 – 140 of 158

Lines vortices in the U(1) - Higgs model

Tristan Riviere (2010)

ESAIM: Control, Optimisation and Calculus of Variations

For a given U(1)-bundle E over M = $λ_{2}$ {x1, ..., xn}, where the xi are n distinct points of $λ_{2}$ , 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

Frank Loose (1997)

Annales de l'institut Fourier

A Liouville form on a symplectic manifold $(X, ω)$ is by definition a potential $β$ of the symplectic form $- d β = ω$ . Its center $M$ is given by $β^{- 1} (0)$ . A normal form for certain Liouville forms in a neighborhood of its center is given.

Liouville theorem for harmonic maps with potential.

Qun Chen (1998)

Manuscripta mathematica

Liouville theorems for exponentially harmonic functions on Riemannian manifolds.

Hong Min-Chun (1992)

Manuscripta mathematica

Liouville theorems for harmonic maps.

Zhiren Jin (1992)

Inventiones mathematicae

Lipschitz convergence of manifolds of positive Ricci curvature with large volume.

Takao Yamaguchi (1989)

Mathematische Annalen

Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent cones.

Greshnov, A.V. (2007)

Sibirskij Matematicheskij Zhurnal

Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.

John S. Bland (1983)

Mathematische Annalen

Local constraints on Einstein-Weyl geometries.

M.G. Eastwood, K.P. Tod (1997)

Journal für die reine und angewandte Mathematik

Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem.

J.-H. Eschenburg (1986)

Inventiones mathematicae

Local coordinates for $SL (n, C)$ -character varieties of finite-volume hyperbolic 3-manifolds

Pere Menal-Ferrer, Joan Porti (2012)

Annales mathématiques Blaise Pascal

Given a finite-volume hyperbolic 3-manifold, we compose a lift of the holonomy in $SL (2, C)$ with the $n$ -dimensional irreducible representation of $SL (2, C)$ in $SL (n, C)$ . In this paper we give local coordinates of the $SL (n, C)$ -character variety around the character of this representation. As a corollary, this representation is isolated among all representations that are unipotent at the cusps.

Local existence of Ricci Solitons.

Thomas A. Ivey (1996)

Manuscripta mathematica

Local gradient estimates of $p$ -harmonic functions, $1 / H$ -flow, and an entropy formula

Brett Kotschwar, Lei Ni (2009)

Annales scientifiques de l'École Normale Supérieure

In the first part of this paper, we prove local interior and boundary gradient estimates for $p$ -harmonic functions on general Riemannian manifolds. With these estimates, following the strategy in recent work of R. Moser, we prove an existence theorem for weak solutions to the level set formulation of the $1 / H$ (inverse mean curvature) flow for hypersurfaces in ambient manifolds satisfying a sharp volume growth assumption. In the second part of this paper, we consider two parabolic analogues of the $p$ -harmonic...

Local invariants of a pseudo-Riemannian manifold.

Peter B. Gilkey (1975)

Mathematica Scandinavica

Local reflexion spaces

Jan Gregorovič (2012)

Archivum Mathematicum

A reflexion space is generalization of a symmetric space introduced by O. Loos in [4]. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexion spaces are equivalently given by a locally flat Cartan connection of certain type.

Localization of basic characteristic classes

Dirk Töben (2014)

Annales de l’institut Fourier

We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold $M$ is complete, simply connected (or more generally if the foliation is a transversely orientable Killing foliation) and if the space of leaf closures is compact, then the basic characteristic numbers are determined by the infinitesimal dynamical behavior of the foliation at the union of its closed leaves. In fact, they can be computed with an Atiyah-Bott-Berline-Vergne-type...

Locally conformal almost cosymplectic manifolds

Zbigniew Olszak (1989)

Colloquium Mathematicae

Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems

Domingo Chinea, Manuel de León, Juan C. Marrero (1991)

Commentationes Mathematicae Universitatis Carolinae

We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.

Locally conformal symplectic manifolds.

Vaisman, Izu (1985)

International Journal of Mathematics and Mathematical Sciences

Locally conformally Kähler metrics on Hopf surfaces

Paul Gauduchon, Liviu Ornea (1998)

Annales de l'institut Fourier

A primary Hopf surface is a compact complex surface with universal cover $ℂ^{2} - {(0, 0)}$ and cyclic fundamental group generated by the transformation $(u, v) \mapsto (α u + λ v^{m}, β v)$ , $m \in ℤ$ , and $α, β, λ \in ℂ$ such that $∣ α ∣ \geq ∣ β ∣ > 1$ and $(α - β^{m}) λ = 0$ . Being diffeomorphic with $S^{3} \times S^{1}$ Hopf surfaces cannot admit any Kähler metric. However, it was known that for $λ = 0$ and $∣ α ∣ = ∣ β ∣$ they admit a locally conformally Kähler metric with parallel Lee form. We here provide the construction of a locally conformally Kähler metric with parallel Lee form for all primary Hopf surfaces of class $1$ ( $λ = 0$ ). We also show...

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