Geometry Of The Laplace Operator

Osserman, Robert

Geometry Of The Laplace Operator - 1980 - 319 páginas

1. Riesz means on riemannian manifolds 2. some geometric aspects of wave motion wavwfront dislocations difraction catastrophes diffractals 3. On cheeger´s inequality 4. Lowest eigenvalue inequalities 5. On the hodge theory of Riemannian manifolds 6. Liouville theorem for harmonic maps 7. Some inverse spectral results for negatively curved n-manifolds 8. On the spectrum of the Laplace operator on compact riemann surfaces 9. Schubert of eigenvalues of a compact Riemannian manifold 10. The number of bound states of one body schroedinger operators and the weyl problem 11. Geometry in the scattering phase 12. Weyl´s conjecture for manifolds with concave boundary 13. Extrinsic estimates for 14. Geometric bounds on the low eigenvalues of a compact surface 15. Combinatorial hodge theory and signature theorem 16. spectral distribution of Laplacians and Kato´s inequality 17. Nonlinear stabilization of quasi-modes 18. Asymptotics of compressions to spectral subspaces of the Laplacian

fcnm1410

516I/O83