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dc.contributor.author
Barberis, Maria Laura Rita  
dc.contributor.author
Moroianu, Andrei  
dc.contributor.author
Semmelmann, Uwe  
dc.date.available
2021-03-04T17:14:40Z  
dc.date.issued
2020-04  
dc.identifier.citation
Barberis, Maria Laura Rita; Moroianu, Andrei; Semmelmann, Uwe; Generalized vector cross products and Killing forms on negatively curved manifolds; Springer; Geometriae Dedicata; 205; 1; 4-2020; 113-127  
dc.identifier.issn
0046-5755  
dc.identifier.uri
http://hdl.handle.net/11336/127465  
dc.description.abstract
Motivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on Rn and give their classification. Using previous results about Killing tensors on negatively curved manifolds and a new characterization of SU (3) -structures in dimension 6 whose associated 3-form is Killing, we then show that every Killing 3-form on a compact n-dimensional Riemannian manifold with negative sectional curvature vanishes if n≥ 4.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
KILLING FORMS  
dc.subject
KILLING TENSORS  
dc.subject
SU (3) -STRUCTURES  
dc.subject
VECTOR CROSS PRODUCTS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Generalized vector cross products and Killing forms on negatively curved manifolds  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-11-19T21:17:51Z  
dc.identifier.eissn
1572-9168  
dc.journal.volume
205  
dc.journal.number
1  
dc.journal.pagination
113-127  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Barberis, Maria Laura Rita. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.description.fil
Fil: Moroianu, Andrei. Université Paris Sud; Francia  
dc.description.fil
Fil: Semmelmann, Uwe. Universität Stuttgart; Alemania  
dc.journal.title
Geometriae Dedicata  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10711-019-00467-9  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10711-019-00467-9