Eigenvalues of the Laplacian on a compact manifold with density

In a smooth compact oriented n-dimensional manifold M , the Atiyah- Singer index theorem of the Laplacian on differential forms and of its square root, which is the Dirac

The CR manifold M is said to be strictly pseudoconvex if the Levi form G θ of a pseudo-Hermitian structure θ is either positive definite or negative definite.. Of course, this

Sicbaldi was able to build extremal domains of big volume in some compact Riemannian manifold without boundary by perturbing the com- plement of a small geodesic ball centered at

The Riesz transform, Riemannian manifold, the Hodge-de Rham Laplacian, Hardy spaces, Schr¨ odinger operators, the heat kernel.. The research of the authors was partially supported

Truc : Eigenvalues of Laplacian with constant mag- netic field on non-compact hyperbolic surfaces with finite area spectral asymptotics, Lett.. M¨ uller : Weyl’s law in the theory

Given a couple of smooth positive measures of same total mass on a compact connected Riemannian manifold M , we look for a smooth optimal transportation map G, pushing one measure

We shall work on an oriented compact riemannian manifold (M, g) and f will be an excellent Morse function : f is smooth has non degenerate critical points and these have

A connected compact real differential manifold of dimension 2 without boundary endowed with an effective differentiable S 1 -action admits a smooth rational quasi-projective