The Einstein condition on nearly Kähler six-manifolds

Ricci Flow on Kähler-einstein Manifolds

Nearly Einstein Manifolds

The object of this paper is to define and study a new type of non-flat Riemannian manifold called nearly Einstein manifold. The notion of this nearly Einstein manifold has been established by an example and an existence theorem. Some geometric properties are obtained. AMS Mathematics Subject Classification (2010): 53C25.

Yang - Mills configurations on nearly Kähler and G 2 - manifolds

Erkï arung Hiermit versichere ich, dass ich die Diplomarbeit selbständig und lediglich unter Benutzung der angegebenen Quellen und Hilfsmittel verfasst habe. Acknowledgements In the first place I thank my advisor Prof. Dr. Olaf Lechtenfeld for giving me the opportunity to be a diploma student in his group, for continuous support from his side during the whole period of the past twelve months an...

On Nearly Kähler Geometry *

We consider complete nearly Kähler manifolds with the canonical Hermitian connection. We prove some metric properties of strict nearly Kähler manifolds and give a sufficient condition for the reducibility of the canonical Hermitian connection. A holonomic condition for a nearly Kähler manifold to be a twistor space over a quaternionic Kähler manifold is given. This enables us to give classifica...

Kähler (& Hyper-kähler) Manifolds

These notes are based on two talks given at the Arithmetic & Algebraic Geometry Seminar of the Korteweg-de Vriesinstituut for mathematics of the Universiteit van Amsterdam. They are intended to give a short introduction to the theory of Kähler manifolds, with a slight focus of applicability to the subject of K3 surfaces. However, they also include other interesting results not related to K3 sur...