Erratum: Geometry of the Rolling Ellipsoid
Espaces-temps asymptotiquement plats invariants par un groupe de transformations asymptotiques isomorphe au groupe de Bondi-Metzner
Espaces-temps non vides à métrique de Taub en relativité générale
Espaces-temps possédant la propriété de Killing
Espaces-temps possédant la propriété de la quasi-récurrence réciproque
Espace-temps ayant la propriété harmonique
Essential Killing fields of parabolic geometries: projective and conformal structures
We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.
Essential parabolic structures and their infinitesimal automorphisms.
Estimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in ... .
Euclidean Hypersurfaces with Isometric Gauss Maps.
Euler-Savary's formula on Minkowski geometry.
Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids
Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces
We construct a class of nonsemisymmetric Ricci-semisymmetric warped products. Some manifolds of this class can be locally realized as hypersurfaces of a semi-Euclidean space , n ≥ 5.
Exempls of conics arising in two-dimensional Finsler and Lagrange geometries.
Existence of geodesics for the Lorentz metric of a stationary gravitational field
Existence of Holomorphic Functions on Almost Complex Manifolds.
Existence of Metrics With Prescribed Ricci Curvature: Local Theory.
Extended Derdziński-Shen theorem for curvature tensors
We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.
-biminimal maps between Riemannian manifolds
We give the definition of -biminimal submanifolds and derive the equation for -biminimal submanifolds. As an application, we give some examples of -biminimal manifolds. Finally, we consider -minimal hypersurfaces in the product space and derive two rigidity theorems.