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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
- DOI
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10.1515/coma-2018-0004
- URN
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urn:nbn:de:101:1-2410281505420.780684470107
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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18.08.2025, 05:17 MESZ
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Beteiligte
- Latorre, Adela
- Ugarte, Luis
- Villacampa, Raquel
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