A differentiable isomorphism between Wiener space and path group
A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
A directional compactification of the complex Bloch variety.
A directional compactification of the complex Fermi surface
A discreteness criterion for the spectrum of the Laplace--Beltrami operator on quasimodel manifolds.
A double complex related with a system of partial differential equations. II
A double complex related with a system of partial differential equations. I
A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
A fixed point formula of Lefschetz type in Arakelov geometry II: A residue formula
This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula "à la Bott" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut- Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.
A fully nonlinear version of the Yamabe problem on manifolds with boundary
We propose to study a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.
A Fundamental Property of Monge Characteristics in Involutive Systems of Non-Linear Partial Differential Equations and its Application.
A general class of Gevrey-type pseudo differential operators
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations
A geometric and analytic approach to some problems associated with Emden equations
A geometric approach to on-diagonal heat kernel lower bounds on groups
We introduce a new method for obtaining heat kernel on-diagonal lower bounds on non- compact Lie groups and on infinite discrete groups. By using this method, we are able to recover the previously known results for unimodular amenable Lie groups as well as for certain classes of discrete groups including the polycyclic groups, and to give them a geometric interpretation. We also obtain new results for some discrete groups which admit the structure of a semi-direct product or of a wreath product....
A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
A geometric estimate for a periodic Schrödinger operator
We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator with potential given by the curvature of a closed curve.
A horizontal Lévy process on the bundle of orthonormal frames over a complete riemannian manifold
A K-theoretic relative index theorem and Callias-type Dirac operators.
A Lie Group Structure for Fourier Integral Operators.