By Lorenz J. Schwachhöfer (auth.), Christian Bär, Joachim Lohkamp, Matthias Schwarz (eds.)

This quantity incorporates a choice of well-written surveys supplied via specialists in worldwide Differential Geometry to provide an summary over fresh advancements in Riemannian Geometry, Geometric research and Symplectic Geometry.

The papers are written for graduate scholars and researchers with a common curiosity in geometry, who are looking to get conversant in the present developments in those important fields of contemporary mathematics.

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76, 585–591 (1970) 28. : M´etriques k¨ahleriennes et fibr´es holomorphes, Ann. Ec. Norm. Sup. 12, 269–294 (1979) ´ Les groupes de transformations continus, infinis, simples. Ann. Ec. ´ Norm. 26, 29. : 93–161 (1909) 30. : Sur les vari´et´es a` connexion affine et la th´eorie de la relativit´e g´en´eralis´ee I & II, Ann. Sci. Ecol. Norm. Sup. 40, 325–412 (1923); et 41, 1–25 (1924) ou Oeuvres compl`etes, tome III, 659–746 et 799–824 31. : La g´eom´etrie des espaces de Riemann, M´emorial des Sciences Math´ematiques.

7. [60] 1. n C 1; R/. Then M carries a canonical Bochner–K¨ahler metric whose K¨ahler form is given by !. 2. n C 1; 1/. / carries a canonical connection of Ricci-type. Note that in [20], Bochner–K¨ahler metrics have been locally classified. In this terminology, the Bochner–K¨ahler metrics in the above theorem are called Bochner– K¨ahler metrics of type I. For more details, we also refer the reader to [12]. Holonomy Groups and Algebras 35 Reference 1. : Classification of quaternionic spaces with a transitive solvable group of motions.

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