The diffeomorphism group of a Riemannian foliation.
The Differentiable Structure of Three Remarkable Diffeomorphism Groups.
The differential form method for finding symmetries.
The Differential Form Spectrum of Hyperbolic Space.
The differential geometry of almost Hermitian almost contact metric submersions.
The differential properties of one class of surfaces in Euclidean space.
The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold
Let be a real submanifold of an almost complex manifold and let be the maximal holomorphic subspace, for each . We prove that , is upper-semicontinuous.
The Dirac operator on collapsing -bundles
The Dirichlet problem for the equation of prescribed mean curvature
The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
The discriminant and oscillation lengths for contact and Legendrian isotopies
We define an integer-valued non-degenerate bi-invariant metric (the discriminant metric) on the universal cover of the identity component of the contactomorphism group of any contact manifold. This metric has a very simple geometric definition, based on the notion of discriminant points of contactomorphisms. Using generating functions we prove that the discriminant metric is unbounded for the standard contact structures on and . On the other hand we also show by elementary arguments that the...
The Dolbeault operator on Hermitian spin surfaces
We prove the vanishing of the kernel of the Dolbeault operator of the square root of the canonical line bundle of a compact Hermitian spin surface with positive scalar curvature. We give lower estimates of the eigenvalues of this operator when the conformal scalar curvature is non -negative.
The double bubble conjecture.
The double bubble problem in spherical and hyperbolic space.
The double bubble problem on the cone.
The double covering of the quantum group
The double exponential map and covariant derivation.
The duals of generic hypersurfaces.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The enveloping group of a lie algebra