A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types
Abstract: We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures. By restricting a to take rational values, we arrive at the existence of infinitely many real homotopy types of 8-dimensional nilmanifolds admitting a complex structure. Moreover, balanced Hermitian metrics and generalized Gauduchon metrics on such nilmanifolds are constructed.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types ; volume:5 ; number:1 ; year:2018 ; pages:89-102 ; extent:14
Complex manifolds ; 5, Heft 1 (2018), 89-102 (gesamt 14)
- Creator
-
Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
- DOI
-
10.1515/coma-2018-0004
- URN
-
urn:nbn:de:101:1-2410281505420.780684470107
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:35 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Latorre, Adela
- Ugarte, Luis
- Villacampa, Raquel
Other Objects (12)
Lipschitz Extensions to Finitely Many Points
Idealized skins determined by finitely many particles
Idealized skins constituted by finitely many material particles
MULTIPLE FLAG IND-VARIETIES WITH FINITELY MANY ORBITS
Eigenvalue estimates for operators with finitely many negative squares
Finitely and non-finitely related words
Allocation of risks and equilibrium in markets with finitely many traders
Representing Infinite Periodic Hyperbolic Delaunay Triangulations Using Finitely Many Dirichlet Domains
Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
Tree-Like Proof Systems for Finitely-Many Valued Non-deterministic Consequence Relations
Relative payoffs and evolutionary spite: Evolutionary equilibria in games with finitely many players
Are there finitely many families of elliptic Calabi-Yau manifolds in fixed dimension?
Lipschitz Extensions to Finitely Many Points
Idealized skins determined by finitely many particles
Idealized skins constituted by finitely many material particles
MULTIPLE FLAG IND-VARIETIES WITH FINITELY MANY ORBITS
Eigenvalue estimates for operators with finitely many negative squares
Finitely and non-finitely related words
Allocation of risks and equilibrium in markets with finitely many traders
Representing Infinite Periodic Hyperbolic Delaunay Triangulations Using Finitely Many Dirichlet Domains
Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
Tree-Like Proof Systems for Finitely-Many Valued Non-deterministic Consequence Relations
Relative payoffs and evolutionary spite: Evolutionary equilibria in games with finitely many players
Are there finitely many families of elliptic Calabi-Yau manifolds in fixed dimension?
Lipschitz Extensions to Finitely Many Points
Idealized skins determined by finitely many particles
Idealized skins constituted by finitely many material particles
MULTIPLE FLAG IND-VARIETIES WITH FINITELY MANY ORBITS
Eigenvalue estimates for operators with finitely many negative squares
Finitely and non-finitely related words
Allocation of risks and equilibrium in markets with finitely many traders
Representing Infinite Periodic Hyperbolic Delaunay Triangulations Using Finitely Many Dirichlet Domains
Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
Tree-Like Proof Systems for Finitely-Many Valued Non-deterministic Consequence Relations
Relative payoffs and evolutionary spite: Evolutionary equilibria in games with finitely many players