A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.
A splitting lemma for non-reflexive Banach spaces.
A Splitting Theorem for Maps Into IR2 .
A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations
A stochastic approach to relativistic diffusions
A new class of relativistic diffusions encompassing all the previously studied examples has recently been introduced in the article of C. Chevalier and F. Debbasch (J. Math. Phys. 49 (2008) 043303), both in a heuristic and analytic way. A stochastic approach of these processes is proposed here, in the general framework of lorentzian geometry. In considering the dynamics of the random motion in strongly causal spacetimes, we are able to give a simple definition of the one-particle distribution function...
A stochastic characterization for harmonic morphisms.
A stochastic scheme for constructing solutions of the Schrödinger equations
A strong maximum principle for the Paneitz operator and a non-local flow for the -curvature
In this paper we consider Riemannian manifolds of dimension , with semi-positive -curvature and non-negative scalar curvature. Under these assumptions we prove (i) the Paneitz operator satisfies a strong maximum principle; (ii) the Paneitz operator is a positive operator; and (iii) its Green’s function is strictly positive. We then introduce a non-local flow whose stationary points are metrics of constant positive -curvature. Modifying the test function construction of Esposito-Robert, we show...
A Sufflcient Condition for a Critical Point of a Functional to be a Minimum and Its Application to Plateau' s Problem.
A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I.
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.
A symplectic fixed point theorem for ...Cpn.
A Symplectic Fixed Point Theorem on ... .
A theorem on the escape from the space of hyperbolic polynomials.
A Thom isomorphism for infinite rank Euclidean bundles.
A time periodic solution of the Navier-Stokes equations with mixed boundary conditions
A Twistor Correspondence for Homogeneous Polynomial Differential Operators.
A Twistor Description of Harmonic Maps of a 2-Sphere into a Grassmannian.
A typical convex surface contains no closed geodesic.
A unified approach to min-max critical point theorems.