This second edition explores recent progress in the submanifold geometry of space forms,
including new methods based on the holonomy of the normal connection. It contains five …

Dieses Lehrbuch ist aus einer einsemestrigen Vorlesung über Eichfeldtheorie entstanden,
die ich seit Anfang der 90er Jahre mehrfach an der Humboldt-Universität als Teil meines …

We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes
over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces …

Abstract If an (n+ 2)-dimensional Lorentzian manifold is indecomposable, but non-
irreducible, then its holonomy algebra is contained in the parabolic algebra (R⊕ so (n))⋉ …

We address the problem of finding conditions under which a compact Lorentzian manifold is
geodesically complete, a property, which always holds for compact Riemannian manifolds. It …

We review recent results in the theory of holonomy groups of pseudo-Riemannian
manifolds, ie manifolds with indefinite metrics. First we present the classification of …

Holonomy groups of Lorentzian manifolds: classification, examples, and applications Page 65
Holonomy groups of Lorentzian manifolds: classification, examples, and applications Anton …

A Geometric Proof of the Berger Holonomy Theorem Page 1 Annals of Mathematics, 161 (2005),
579-588 A geometric proof of the Berger Holonomy Theorem By CARLOS OLMOS* Dedicated …

This paper contains a survey of recent results on classification of the connected holonomy
groups of Lorentzian manifolds. A simplification of the construction of Lorentzian metrics with …

All candidates to the weakly-irreducible not irreducible holonomy algebras of Lorentzian
manifolds are known. In the present paper metrics that realize all these candidates as …