AbstractWe study unit horizontal bundles associated with Riemannian submersions. First we investigate metric properties of an arbitrary unit horizontal bundle equipped with a Riemannian metric of the Cheeger–Gromoll type. Next we examine it from the Gromov–Hausdorff convergence theory point of view, and we state a collapse theorem for unit horizontal bundles associated with a sequence of warped Riemannian submersions
AbstractWe consider coefficient bodies Mn for univalent functions. Based on the Löwner–Kufarev param...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
A sub-Riemannian manifold is a smooth manifold which carries a distribution equipped with a metric. ...
AbstractWe study unit horizontal bundles associated with Riemannian submersions. First we investigat...
Abstract. We investigate unit horizontal bundles associated with Rie-mannian submersions. Next we st...
AbstractWe define an affine submersion with horizontal distribution and obtain some fundamental equa...
summary:In this paper, we address the completeness problem of certain classes of Riemannian metrics ...
We introduce horizontal holonomy groups, which are groups defined using parallel transport only alon...
summary:Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of ...
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.We exhi...
AbstractWe show that there exists a family of Riemannian metrics on the tangent bundle of a two-sphe...
The horizontal mean curvature flow is an evolution of a hypersurface, which is interesting not only...
Given a manifold M and a proper sub-bundle Δ⊂ TM, we investigate homotopy properties of the horizont...
We generalize the concept of sub-Riemannian geometry to infinite- dimensional manifolds modeled on c...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
AbstractWe consider coefficient bodies Mn for univalent functions. Based on the Löwner–Kufarev param...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
A sub-Riemannian manifold is a smooth manifold which carries a distribution equipped with a metric. ...
AbstractWe study unit horizontal bundles associated with Riemannian submersions. First we investigat...
Abstract. We investigate unit horizontal bundles associated with Rie-mannian submersions. Next we st...
AbstractWe define an affine submersion with horizontal distribution and obtain some fundamental equa...
summary:In this paper, we address the completeness problem of certain classes of Riemannian metrics ...
We introduce horizontal holonomy groups, which are groups defined using parallel transport only alon...
summary:Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of ...
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.We exhi...
AbstractWe show that there exists a family of Riemannian metrics on the tangent bundle of a two-sphe...
The horizontal mean curvature flow is an evolution of a hypersurface, which is interesting not only...
Given a manifold M and a proper sub-bundle Δ⊂ TM, we investigate homotopy properties of the horizont...
We generalize the concept of sub-Riemannian geometry to infinite- dimensional manifolds modeled on c...
summary:We completely classify Riemannian $g$-natural metrics of constant sectional curvature on the...
AbstractWe consider coefficient bodies Mn for univalent functions. Based on the Löwner–Kufarev param...
In this work, we describe a method to construct new examples of collapse with a lower curvature boun...
A sub-Riemannian manifold is a smooth manifold which carries a distribution equipped with a metric. ...