Strictly nearly Kähler 6-manifolds are not compatible with symplectic forms

Strictly Nearly Kähler 6-manifolds Are Not Compatible with Symplectic Forms

We show that the almost complex structure underlying a nonKähler, nearly Kähler 6-manifold (in particular, the standard almost complex structure of S) cannot be compatible with any symplectic form, even locally.

Strictly Kähler-Berwald manifolds with constant‎ ‎holomorphic sectional curvature

In this paper‎, ‎the‎ ‎authors prove that a strictly Kähler-Berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ Kähler manifold‎. 

strictly kähler-berwald manifolds with constant‎ ‎holomorphic sectional curvature

in this paper‎, ‎the‎ ‎authors prove that a strictly kähler-berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ kähler manifold‎.

Nearly Kählerian Embeddings of Symplectic Manifolds

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...