Generic Minimal Surfaces.
Generic one-step bracket-generating distributions of rank four
We give a uniform, explicit description of the generic types of one–step bracket–generating distributions of rank four. A manifold carrying such a structure has dimension at least five and no higher than ten. For each of the generic types, we give a brief description of the resulting class of generic distributions and of geometries equivalent to them. For dimensions different from eight and nine, these are available in the literature. The remaining two cases are dealt with in my doctoral thesis.
Generic properties of closed geodesics on smooth hypersurfaces.
Generic submanifolds in almost Hermitian manifolds
Generic submanifolds of a locally conformal Kaehler manifold. II.
Generic warped product submanifolds in nearly Kähler manifolds.
Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ.
Geodesic algorithms in Riemannian geometry.
Geodesic conjugation of two-step nilmanifolds. (Conjugaison géodésique des nilvariétés de rang deux.)
Geodesic Convexity and Plurisubharmonicity on Hermitian Manifolds.
Geodesic graphs in Randers g.o. spaces
The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.
Geodesic graphs on special 7-dimensional g.o. manifolds
In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds and . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining metrics...
Geodesic knots in the figure-eight knot complement.
Geodesic laminations with transverse Hölder distributions
Geodesic lines in D recurrent Finsler spaces.
Geodesic Mappings on Compact Riemannian Manifolds with Conditions on Sectional Curvature
Geodesic monotone vector fields.
Geodesic reduction via frame bundle geometry.
Geodesic reflections in semi-Riemannian geometry
Geodesic spheres and isometric flows