The main purpose of this book is to give an exposition of recent results (obtained with the
essential participation of the authors) on geodesic orbit Riemannian manifolds and their …

In this chapter we study homogeneous Finsler spaces. In Sect. 4.1, we define the notions of
Minkowski Lie pairs and Minkowski Lie algebras to give an algebraic description of invariant …

A bstract We construct six-dimensional superconformal models with non-abelian tensor and
hypermultiplets. They describe the field content of (2, 0) theories, coupled to (1, 0) vector …

In this paper, we will give a complete classification of homogeneous Randers spaces with
isotropic S-curvature and positive flag curvature. This results in a large class of Finsler …

In this paper we present the first example of a non-geodesic orbit left-invariant Einstein
metric on a compact Lie group. It should be noted that a suitable metric is defined on the Lie …

A very important class of homogeneous Riemannian manifolds are the so-called normal
homogeneous spaces, which have associated a canonical connection. In this study, we …

We study associative submanifolds of the Berger space SO (5)/SO (3) endowed with its
homogeneous nearly-parallel G2-structure. We focus on two geometrically interesting …

We prove a Simons-type holonomy theorem for totally skew 1-forms with values in a Lie
algebra of linear isometries. The only transitive case, for this theorem, is the full orthogonal …

RANK TWO FUNDAMENTAL GROUPS OF POSITIVELY CURVED MANIFOLDS Introduction It
is well known that any finite group is the fundamenta Page 1 RANK TWO FUNDAMENTAL …

We provide explicit formulae for the first eigenvalue of the Laplace–Beltrami operator on a
compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As …