On the Differentiability of the Coordinate Functions of Póyla's Space-Filling Curve.
On the Differentiable Pinching Problem.
On the differential form spectrum of hyperbolic manifolds
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
On the differential geometry of frame bundles of Riemannian manifolds.
On the Dirichlet Probelm for Surfaces of Prescribed Mean Curvature.
On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature.
On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
On the Djrbashian kernel of a Siegel domain
We establish an inversion formula for the M. M. Djrbashian A. H. Karapetyan integral transform (cf. [6]) on the Siegel domain , . We build a family of Kähler metrics of constant holomorphic curvature whose potentials are the -Bergman kernels, α > -1, (in the sense of Z. Pasternak-Winiarski [20] of . We build an anti-holomorphic embedding of in the complex projective Hilbert space and study (in connection with work by A. Odzijewicz [18] the corresponding transition probability amplitudes....
On the dual Bishop Darboux rotation axis of the dual space curve.
On the dual Darboux rotation axis of the timelike dual space curve.
On the dynamics of isometries.
On the Eigenvalues of the Shape Operator of an Isometric Immersion into a Space of Constant Curvature.
On the Elliptic Equation ...u + K(x)e2u = 0 and Conformal Metrics with Prescribed Gaussian Curvatures..
On the embedding of 1-convex manifolds with 1-dimensional exceptional set
In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold , with 1- dimensional exceptional set and finitely generated second homology group , is embeddable in if and only if is Kähler, and this case occurs only when does not contain any effective curve which is a boundary.
On the energy of sections of trivializable sphere bundles.
On the energy of unit vector fields with isolated singularities
We consider the energy of a unit vector field defined on a compact Riemannian manifold M except at finitely many points. We obtain an estimate of the energy from below which appears to be sharp when M is a sphere of dimension >3. In this case, the minimum of energy is attained if and only if the vector field is totally geodesic with two singularities situated at two antipodal points (at the 'south and north pole').
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the Equation of Surfaces of Prescribed Mean Curvature. Existence and Uniqueness without Boundary Conditions.
On the equivalence of Ricci-semisymmetry and semisymmetry
On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry