A Riemann-Lagrange geometrization for metrical multi-time Lagrange spaces.
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
A saddle point approach to nonlinear eigenvalue problems
A saddle point theorem for non-smooth functionals and problems at resonance.
A secondary Chern-Euler class.
A semi-global Taylor formula for manifolds
A set of axioms for the degree of a tangent vector field on differentiable manifolds.
A shape-optimization technique for the capillary surface problem.
A sharpening of a theorem of Bouligand. With an application to harmonic maps.
A short note on -biharmonic hypersurfaces
In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .
A short proof of the Hölder-Poincaré duality for -cohomology
A sign-changing solution for a superlinear Dirichlet problem. II.
A special type of triangulations in numerical nonlinear analysis.
To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.
A spectral estimate for the Dirac operator on Riemannian flows
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on both Sasakian and 3-dimensional manifolds, and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.
A Spectral Paley-Wiener Theorem.
A spectral problem with an indefinite weight for an elliptic system.
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