The Curvature of Most Convex Surfaces Vanishes Almost Everywhwere.
The Curvature of SU(5)/(SP(2)XS1).
The curvature theory of generalized connection in .
The curvatures of certain surfaces of translation
The Cusp Catastrophe of Thom in the Bifurcation of Minimal Surfaces.
The Cut Locus of Noncompact Finitely Connected Surfaces Without Conjugate Points
The cyclic homology of
The cyclides of third order in pseudoisotropic space. II. (Die Zykliden 3. Ordnung im pseudoisotropen Raum. II.)
The Darboux mapping of canal hypersurfaces.
The Darboux System and Embedding Problems in Three-Dimensional Riemannian Spaces.
The Darboux theorem on plane trajectories of two-parametric space motions
The paper contains the proof of the classification theorem for two-parametric space motions with at least 5 points with plane trajectories. The proof is based on [1] and on the cannonical form of a certain tensor of order 3. The second part of the paper deals with the problem of plane trajectories from the differential-geometrical point of view. Some applications are given.
The decomposition of global conformal invariants: some technical proofs. I.
The decomposition of tensor spaces with almost complex structure
The deformation theory of anti-self-dual conformal structures.
The deformation theory of representations of fundamental groups of compact Kähler manifolds
The degenerate C. Neumann system I: symmetry reduction and convexity
The C. Neumann system describes a particle on the sphere S n under the influence of a potential that is a quadratic form. We study the case that the quadratic form has ℓ +1 distinct eigenvalues with multiplicity. Each group of m σ equal eigenvalues gives rise to an O(m σ)-symmetry in configuration space. The combined symmetry group G is a direct product of ℓ + 1 such factors, and its cotangent lift has an Ad*-equivariant momentum mapping. Regular reduction leads to the Rosochatius system on S ℓ,...
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 development of the oloid.
The diameter function on the space of space form