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Generalized Killing spinors in dimension 5
Author(s):
Diego
Conti;
Simon
Salamon
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5319-5343.
MSC (2000):
Primary 53C25;
Secondary 14J32, 53C29, 53C42, 58A15
Posted:
May 1, 2007
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Abstract:
We study the intrinsic geometry of hypersurfaces in Calabi-Yau manifolds of real dimension 6 and, more generally,  -structures on 5-manifolds defined by a generalized Killing spinor. We prove that in the real analytic case, such a 5-manifold can be isometrically embedded as a hypersurface in a Calabi-Yau manifold in a natural way. We classify nilmanifolds carrying invariant structures of this type, and present examples of the associated metrics with holonomy  .
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Additional Information:
Diego
Conti
Affiliation:
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
Address at time of publication:
Dipartimento di Matematica e Applicazioni, Università di Milano -- Bicocca, Via Cozzi 53, 20125 Milano, Italy
Email:
diego.conti@unimib.it
Simon
Salamon
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Email:
simon.salamon@polito.it
DOI:
10.1090/S0002-9947-07-04307-3
PII:
S 0002-9947(07)04307-3
Received by editor(s):
September 2, 2005
Posted:
May 1, 2007
Additional Notes:
This research was carried out as part of the programme ``Proprietà geometriche delle varietà reali e complesse'' (Cofin 2002) funded by the Italian MIUR
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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