The deformation theory of anti-self-dual conformal structures.
The deformation theory of representations of fundamental groups of compact Kähler manifolds
The Dehn functions of and
For at least 3, the Dehn functions of and are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for bigger than 3 to the case . In this note we give a shorter, more direct proof of this last reduction.
The diameter function on the space of space form
The diffeomorphism group of a non-compact orbifold [Book]
The diffeomorphism group of a Riemannian foliation.
The Differential Form Spectrum of Hyperbolic Space.
The differential geometry of almost Hermitian almost contact metric submersions.
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 harmonic maps from the disk into a lorentzian warped product
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 exponential map and covariant derivation.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The equations of generalized complex structures on complex 2-tori.
The equivariant Dehn's lemma and loop theorem.
The eta invariant and metrics of positive scalar curvature.
The Euclidean plane kinematics
Restricting his considerations to the Euclidean plane, the author shows a method leading to the solution of the equivalence problem for all Lie groups of motions. Further, he presents all transitive one-parametric system of motions in the Euclidean plane.
The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in
The even Clifford structure of the fourth Severi variety
TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19]. This means the existence of a real oriented Euclidean vector bundle E over it together with an algebra bundle morphism φ : Cl0(E) → End(TM) mapping Ʌ2E into skew-symmetric endomorphisms, and the existence of a metric connection on E compatible with φ. We give an explicit description of such a vector bundle E as a sub-bundle of End(TM)....