On the Real Homotopy Type of Generalized Complex Nilmanifolds

Adela Latorre, Luis Ugarte and Raquel Villacampa
Additional contact information
Adela Latorre: Departamento de Matemática Aplicada, Universidad Politécnica de Madrid, C/ José Antonio Novais 10, 28040 Madrid, Spain
Luis Ugarte: Departamento de Matemáticas - I.U.M.A., Universidad de Zaragoza, Campus Plaza San Francisco, 50009 Zaragoza, Spain
Raquel Villacampa: Centro Universitario de la Defensa - I.U.M.A., Academia General Militar, Crta. de Huesca s/n, 50090 Zaragoza, Spain

Mathematics, 2020, vol. 8, issue 9, 1-12

Abstract: We prove that for any n ≥ 4 , there are infinitely many real homotopy types of 2 n -dimensional nilmanifolds admitting generalized complex structures of every type k , for 0 ≤ k ≤ n .

Keywords: nilmanifold; nilpotent Lie algebra; complex structure; symplectic form; generalized complex structure; homotopy theory; minimal model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/9/1562/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/9/1562/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:9:p:1562-:d:412079

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().