Ball versus distance convexity of metric spaces.
Ball-Homogeneous and Disk-Homogeneous Riemannian Manifolds.
Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.
Barta's Inequalities and the First Eigenvalue of a Cap Domain of a 2-Sphere.
Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
On montre l’équivalence entre l’hyperbolicité au sens de Gromov de la géométrie de Hilbert d’un domaine convexe du plan et la non nullité du bas du spectre de ce domaine.
Basic equations of -almost geodesic mappings of the second type, which have the property of reciprocity
We study -almost geodesic mappings of the second type , between non-symmetric affine connection spaces. These mappings are a generalization of the second type almost geodesic mappings defined by N. S. Sinyukov (1979). We investigate a special type of these mappings in this paper. We also consider -structures that generate mappings of type , . For a mapping , , we determine the basic equations which generate them.
Beil metrics associated to a Finsler space.
Bending deformations of complex hyperbolic surfaces.
Bernstein type properties of two-sided hypersurfaces immersed in a Killing warped product
Our purpose is to apply suitable maximum principles in order to obtain Bernstein type properties for two-sided hypersurfaces immersed with constant mean curvature in a Killing warped product , whose curvature of the base Mⁿ satisfies certain constraints and whose warping function ρ is concave on Mⁿ. For this, we study situations in which these hypersurfaces are supposed to be either parabolic, stochastically complete or, in a more general setting, L¹-Liouville. Rigidity results related to entire...
Bernstein-type theorems for space-like surfaces with parallel mean curvature.
Bestimmung der Bogen dritter Ordnung, insbesondere der ordnungstreu erweiterbaren, in topologisch projektiven Ebenen.
Bifurcation for Monge-Ampère Equations on Flat Tori.
Biharmonic anti-invariant submanifolds in Sasakian space forms.
Biharmonic curves in Lorentzian para-Sasakian manifolds.
Biharmonic curves in Minkowski 3-space.
Biharmonic curves in the generalized Heisenberg group.
Biharmonic maps between doubly warped product manifolds.
Biharmonic Riemannian maps
We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.
Biharmonic submanifolds in 3-dimensional -manifolds.
Biholomorphic curvature of an almost Hermitian manifold.