Lignes de divergence pour les graphes à courbure moyenne constante
Limit sets of Kleinian groups and conformally flat Riemannian manifolds.
Limite d'hypersurfaces localement convexes.
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 connections on almost commutative algebras.
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 hamiltonian circle actions that generate minimal Hilbert bases
The orbit space of a linear Hamiltonian circle action and the reduced orbit space, at zero, are examples of singular Poisson spaces. The orbit space inherits the Poisson algebra of functions invariant under the linear circle action and the reduced orbit space inherits the Poisson algebra obtained by restricting the invariant functions to the reduced space. Both spaces reside inside smooth manifolds, which in turn inherit almost Poisson structures from the Poisson varieties. In this paper we consider...
Linear liftings of affinors to Weil bundles
We give a classification of all linear natural operators transforming affinors on each n-dimensional manifold M into affinors on , where is the product preserving bundle functor given by a Weil algebra A, under the condition that n ≥ 2.
Linear liftings of skew-symmetric tensor fields to Weil bundles
We define equivariant tensors for every non-negative integer and every Weil algebra and establish a one-to-one correspondence between the equivariant tensors and linear natural operators lifting skew-symmetric tensor fields of type on an -dimensional manifold to tensor fields of type on if . Moreover, we determine explicitly the equivariant tensors for the Weil algebras , where and are non-negative integers.
Linear transformations of -connections in . II.
Lineare invariante Gebilde in äquiformen Bewegungen der Räume endlicher Dimension
Linearization and explicit solutions of the minimal surface equations.
We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation Δh + 2h = 0 describing locally germs of minimal surfaces. Here Δ is the Laplace-Beltrami operator on the standard two-dimensional sphere. It explains the existence of the sum operator of minimal surfaces, introduced recently. In 4-dimensional space the equation Δ h + 2h = 0 becomes inequality wherever the Gauss curvature of a minimal hypersurface is nonzero.
Linearization and star products
The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.
Linearization of Poisson actions and singular values of matrix products
We prove that the linearization functor from the category of Hamiltonian -actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian - actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version of the Duflo...
L'inégalité de Penrose