On the Ricci Tensor of a real hypersurface of quaternionic hyperbolic space.
On the Ricci tensor of real hypersurfaces of quaternionic projective space.
On the Riemannian curvature tensor of an almost-product manifold
On the Rigidity of Certain Discrete Groups and Algebraic Varieties.
On the rigidity of certain surfaces in
On the role of abnormal minimizers in sub-riemannian geometry
On the role of partial Ricci curvature in the geometry of submanifolds and foliations
Submanifolds and foliations with restrictions on q-Ricci curvature are studied. In §1 we estimate the distance between two compact submanifolds in a space of positive q-Ricci curvature, and give applications to special classes of submanifolds and foliations: k-saddle, totally geodesic, with nonpositive extrinsic q-Ricci curvature. In §2 we generalize a lemma by T. Otsuki on asymptotic vectors of a bilinear form and then estimate from below the radius of an immersed submanifold in a simply connected...
On the Scalar Curvature of Complex Surfaces.
On the scalar curvature of self-dual manifolds.
On the Scalar Curvature of Tangent sphere bundles with Arbitary Constant Radius
On the set of homogeneous geodesics of a left-invariant metric.
On the short time asymptotic of the stochastic Allen–Cahn equation
A description of the short time behavior of solutions of the Allen–Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit solutions move according to motion by mean curvature with an additional stochastic forcing. This extends a similar result of Funaki [Acta Math. Sin (Engl. Ser.)15 (1999) 407–438] in spatial dimension n=2 to arbitrary dimensions.
On the Simon Conjecture for Minimal Immersions with S1-symmetry.
On the singular set of stationary harmonic maps.
On the Sobolev constant and the -spectrum of a compact riemannian manifold
On the space of maps inducing isomorphic connections
Let be the universal connection on the bundle . Given a principal -bundle with connection , we determine the homotopy type of the space of maps of into such that is isomorphic to . Here denotes pull-back.
On the spectral theory and dynamics of asymptotically hyperbolic manifolds
We present a brief survey of the spectral theory and dynamics of infinite volume asymptotically hyperbolic manifolds. Beginning with their geometry and examples, we proceed to their spectral and scattering theories, dynamics, and the physical description of their quantum and classical mechanics. We conclude with a discussion of recent results, ideas, and conjectures.
On the spectrum of Riemannian submersions with totally geodesic fibers
In this Note we give a rule to compute explicitely the spectrum and the eigenfunctions of the total space of a Riemannian submersion with totally geodesic fibers, in terms of the spectra and eigenfunctions of the typical fiber and any associated principal bundle.
On the spinorial representations of .