Generalized almost even-Clifford manifolds and their twistor spaces

Autor: Hernández-Moguel Luis Fernando, Herrera Rafael

Publikováno v: Complex Manifolds, Vol 8, Iss 1, Pp 96-124 (2021)

Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space constructio

Externí odkaz: https://doaj.org/article/511e4a02d985496297d951aeb23346b7

On the Real Homotopy Type of Generalized Complex Nilmanifolds

Autor: Adela Latorre, Luis Ugarte, Raquel Villacampa

Publikováno v: Mathematics, Vol 8, Iss 9, p 1562 (2020)

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

Externí odkaz: https://doaj.org/article/053b666bcf3e4e13ade4edd53b336085

Classification of Boundary Lefschetz Fibrations over the Disc

Autor: Behrens, Stefan, author, Cavalcanti, Gil R., author, Klaasse, Ralph L., author

Publikováno v: Geometry and Physics: Volume II : A Festschrift in honour of Nigel Hitchin, 2018, ill.

Externí odkaz: http://www.oxfordscholarship.com/view/10.1093/oso/9780198802020.001.0001/oso-9780198802020-chapter-15

Twistor space of a generalized quaternionic manifold

Autor: Guillaume Deschamps

Publikováno v: Proceedings - Mathematical Sciences. 131

We first make a little survey of the twistor theory for hypercomplex, generalized hypercomplex, quaternionic or generalized quaternionic manifolds. This last theory was iniated by Pantilie, who shows that any generalized almost quaternionic manifold

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afe6af7ff07ca7c22bb7946a98f98bb9
https://doi.org/10.1007/s12044-020-00599-z

On the real homotopy type of generalized complex nilmanifolds

Autor: Adela Latorre, Raquel Villacampa, Luis Ugarte

Publikováno v: Zaguán: Repositorio Digital de la Universidad de Zaragoza
Universidad de Zaragoza
Mathematics
Volume 8
Issue 9
Mathematics, Vol 8, Iss 1562, p 1562 (2020)
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6d7219197cb0da843e6418db8fcd619
http://arxiv.org/abs/1905.11111