The Lie derivative and cohomology of -structures.
The Lie groupoid analogue of a symplectic Lie group
A symplectic Lie group is a Lie group with a left-invariant symplectic form. Its Lie algebra structure is that of a quasi-Frobenius Lie algebra. In this note, we identify the groupoid analogue of a symplectic Lie group. We call the aforementioned structure a -symplectic Lie groupoid; the “" is motivated by the fact that each target fiber of a -symplectic Lie groupoid is a symplectic manifold. For a Lie groupoid , we show that there is a one-to-one correspondence between quasi-Frobenius Lie algebroid...
The Lie structure of C* and Poisson algebras
The local Gromov-Witten invariants of configurations of rational curves.
The local moduli of Sasakian 3-manifolds.
The local structure of essentially conformally symmetric manifolds with constant fundamental function II. The hyperbolic case
The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case
The local structure of essentially conformally symmetric manifolds with constant fundamental function. III. The parabolic case
The Logarithmic Hardy-Littlewood-Sobolev Inequlity and Extremals of Zeta Functions on Sn.
The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian
This paper discusses the question whether the discrete spectrum of the Laplace-Beltrami operator is infinite or finite. The borderline-behavior of the curvatures for this problem will be completely determined.
The magnetic geodesic flow in a homogeneous field on the complex projective space.
The magnetic geodesic flow on a homogeneous symplectic manifold.
The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)
The Martin compactification of the Cartesian product of two hyperbolic spaces.
The maximal function of a complex measure
The maximum principle at infinity for minimal surfaces in flat three manifolds.
The Maxwell-Bloch equations on fractional Leibniz algebroids.
The mean curvature measure
We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is weakly continuous with respect to almost everywhere convergence. We also establish a sharp Harnack inequality for the minimal surface equation, which is crucial for our proof of the weak continuity. As an application we prove the existence of weak solutions to the...
The mean curvature of a Lipschitz continuous manifold
The paper is devoted to the description of some connections between the mean curvature in a distributional sense and the mean curvature in a variational sense for several classes of non-smooth sets. We prove the existence of the mean curvature measure of by using a technique introduced in [4] and based on the concept of variational mean curvature. More precisely we prove that, under suitable assumptions, the mean curvature measure of is the weak limit (in the sense of distributions) of the mean...
The mean curvature of the second fundamental form of a hypersurface.