The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The eta invariant and metrics of positive scalar curvature.
The eta Invariant and ...O of Lens Spaces.
The eta invariant and the equivariant unitary bordism of spherical space form groups
The eta invariant and the K-theory of odd dimensional spherical space forms.
The eta invariant (some recent developments)
The evolution of the Dirac field in cuved space-times.
The Fatou theorem for NA groups - a negative result
The first eigenvalue of a Riemann surface.
The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold
The First Eigenvalue of the Laplacian of an Isoparametric Minimal Hypersurface in a Unit Sphere.
The ...-form and a generalized Maslov index.
The free laplacian with attractive boundary conditions
The fundamental group and the spectrum of the Laplacian.
The Fundamental Solution for the Kohn-Laplacian ....b on the Sphere in Cn.
The Gap Phenomena of Yang-Mills Fields over the Complete Manifold.
The gap phenomenon in the dimension study of finite type systems
Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.
The gaps in the spectrum of the Schrödinger operator
We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.