On affine transformations of Banachable bundles
On Berwald and Wagner manifolds.
On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach
In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.
On -planar mappings of affine-connection spaces with infinite dimension
On hypersurfaces in a locally affine Riemannian Banach manifold. II.
On hypersurfaces in a locally affine Riemannian Banach manifold.
On the geometry of some para-hypercomplex Lie groups
In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional curvature have been given explicitly. We also show these spaces have constant negative scalar curvatures. Then by using left invariant Riemannian metrics introduced in the first part, we construct some left invariant Randers metrics of Berwald type. The explicit formulas for computing flag curvature have been obtained in...
On the geometry of the Virasoro-Bott group.
On the Kähler geometry of the Hilbert-Schmidt Grassmannian.
On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds
The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
On the radical of J*-triples.
On the Structure of Manifolds with positive Scalar Curvature.
Operator inequalities, geodesics and interpolation