Generalized complex structures on nilmanifolds Export

@misc{citeulike:466577, abstract = {We show that all 6-dimensional nilmanifolds admit generalized complex structures. This includes the five classes of nilmanifold which admit no known complex or symplectic structure. Furthermore, we classify all 6-dimensional nilmanifolds according to which of the four types of left-invariant generalized complex structure they admit. We also show that the two components of the left-invariant complex moduli space for the Iwasawa manifold are no longer disjoint when they are viewed in the generalized complex moduli space. Finally, we provide an 8-dimensional nilmanifold which admits no left-invariant generalized complex structure.}, archivePrefix = {arXiv}, author = {Cavalcanti, Gil R. and Gualtieri, Marco}, citeulike-article-id = {466577}, citeulike-linkout-0 = {http://arxiv.org/abs/math.DG/0404451}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.DG/0404451}, day = {25}, eprint = {math.DG/0404451}, keywords = {generalized\_complex\_geometry, nilmanifolds}, month = {Apr}, posted-at = {2006-01-17 01:58:24}, priority = {2}, title = {Generalized complex structures on nilmanifolds}, url = {http://arxiv.org/abs/math.DG/0404451}, year = {2004} }

TY - ELEC ID - citeulike:466577 L3 - citeulike-article-id:466577 N2 - We show that all 6-dimensional nilmanifolds admit generalized complex structures. This includes the five classes of nilmanifold which admit no known complex or symplectic structure. Furthermore, we classify all 6-dimensional nilmanifolds according to which of the four types of left-invariant generalized complex structure they admit. We also show that the two components of the left-invariant complex moduli space for the Iwasawa manifold are no longer disjoint when they are viewed in the generalized complex moduli space. Finally, we provide an 8-dimensional nilmanifold which admits no left-invariant generalized complex structure. TI - Generalized complex structures on nilmanifolds KW - generalized_complex_geometry KW - nilmanifolds AU - Cavalcanti, Gil AU - Gualtieri, Marco PY - 2004/Apr/25/ UR - http://arxiv.org/abs/math.DG/0404451 ER -