A note on Dirac operators on the quantum punctured disk.
A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
A note on the isoperimetric constant
A prescribing geodesic curvature problem.
A property of Sobolev spaces on complete Riemannian manifolds.
A quantization for Kähler fields in static space-times
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence
We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.
A reduction method for proving the existence of solutions to elliptic equations involving the -Laplacian.
A Relation Between Growth and the Spectrum of the Laplacian.
A relationship between volume, injectivity radius, and eigenvalues.
A Remark on Invariant Pseudo-Differential Operators.
A Remark on Lefschetz Formulae for Modest Vector Bundles.
A remark on linear functions on the sphere
A remark on the differential equations on the sphere
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 theorem for non-smooth functionals and problems at resonance.
A semi-global Taylor formula for manifolds
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.