Isometric immersions of Kähler manifolds
Isometric Immersions of Lorentzian Space Forms.
Isometric Immersions of n-dim. Hyperbolic Spaces into (4n?3)-dim. Standard Spheres and Hyperbolic Spaces.
Isometric immersions of Riemannian products revisited.
Isometric immersions of space forms and soliton theory.
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space.
Isometric immersions of the hyperbolic space into
We transform the problem of determining isometric immersions from into into that of solving equations of degenerate Monge-Ampère type on the unit ball . By presenting one family of special solutions to the equations, we obtain a great many noncongruent examples of such isometric immersions with or without umbilic set.
Isometric Immersions with the Same Gauss Map.
Isometric Reflections with Respect to Submanifolds and the Ricci Operator of Geodesic Spheres.
Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups
We investigate the isometry groups of the left-invariant Riemannian and sub-Riemannian structures on simply connected three-dimensional Lie groups. More specifically, we determine the isometry group for each normalized structure and hence characterize for exactly which structures (and groups) the isotropy subgroup of the identity is contained in the group of automorphisms of the Lie group. It turns out (in both the Riemannian and sub-Riemannian cases) that for most structures any isometry is the...
Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces
We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
Isometries of systolic spaces
We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.
Isometries with Spheres.
Isometrische Immersionen der Kodimension 2 von Raumformen.
Isometrische Immersionen des n-dim. hyperbolischen Raumes Hn in E4n-3.
Isometry groups of Lorentz manifolds.
Isometry groups of singular spaces.
Isometry invariant Finsler metrics on Hilbert spaces
In this paper we study isometry-invariant Finsler metrics on inner product spaces over or , i.e. the Finsler metrics which do not change under the action of all isometries of the inner product space. We give a new proof of the analytic description of all such metrics. In this article the most general concept of the Finsler metric is considered without any additional assumptions that are usually built into its definition. However, we present refined versions of the described results for more specific...
Isoparametric and Dupin hypersurfaces.
Isoparametric families on projective spaces.