B. Y. Chen's inequality for semi-slant submanifolds in -space forms.
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.
Basic concepts of the difference geometry
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.
B-connections and their conformal invariants on conformally Kähler manifolds with B-metric.
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...
Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE.
Bianchi identities in recurrent Finsler spaces.
Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Biharmonic anti-invariant submanifolds in Sasakian space forms.
Biharmonic curves in Minkowski 3-space. II.
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.
Biholomorphic curvature of an almost Hermitian manifold.
Bi-Legendrian connections
We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost -manifold . Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on .
Biminimal Legendrian surfaces in 5-dimensional Sasakian space forms
We classify nonminimal biminimal Legendrian surfaces in 5-dimensional Sasakian space forms.
Bochner's formula for harmonic maps from Finsler manifolds
Let ϕ :(M,F)→ (N,h) be a harmonic map from a Finsler manifold to any Riemannian manifold. We establish Bochner's formula for the energy density of ϕ and maximum principle on Finsler manifolds, from which we deduce some properties of harmonic maps ϕ.
Boundary conditions at past null infinity for zero-rest-mass fields including gravitation
Brackets and curvature. (Corchete y curvatura.)