descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 1990 English Publisher:Mathematical Sciences PublishersJournal:Pacific Journal of Mathematics, volume 142, pages 265-276 (issn: 0030-8730, eissn: 0030-8730,

Authors: Cordero, Luis A.; Wolak, Robert A.;

doi: 10.2140/pjm.1990.142.265

Examples of foliations with foliated geometric structures

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Abstract

We present examples of foliated compact nilmanifolds, whose foliations are neither simple nor given by suspensions, admitting various foliated geometric structures. For example, we construct foliations which are: 1. transversally symplectic but not transversally Kähler, 2. transversally symplectic but not transversally holomorphic, 3. transversally Sasakian but not transversally cosymplectic.

Keywords

Foliations (differential geometric aspects), 57R30, transversally Sasakian, foliated geometric structures, Foliations in differential topology; geometric theory, transversally symplectic, 53C12, foliated compact nilmanifolds

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