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A survey on paracomplex geometry. (English) Zbl 0856.53049

A geometry related to the algebra of paracomplex numbers [P. Liberman, Ann. Mat. Pura Appl., IV. Ser. 36, 27-120 (1954; Zbl 0056.15401)] is called a paracomplex geometry. The present paper is a very nice survey of many beautiful results from different points of view.

Examples of paracomplex manifolds are given and different types of paracomplex manifolds are discussed.

Undoubtedly, this survey will be very useful to many researchers interested in such topics.

Reviewer: R.Roşca (Paris)

MSC:
53C55Hermitian and Kählerian manifolds (global differential geometry)