$Pin^c$ and Lipschitz structures on products of manifolds
Bobienski, Marcin ; Trautman, Andrzej
arXiv, 0507340 / Harvested from arXiv
Text on arXiv
The topological condition for the existence of a $pin^c$ structure on the product of two Riemannian manifolds is derived and applied to construct examples of manifolds having the weaker Lipschitz structure, but no $pin^c$ structure. An example of a five-dimensional manifold with this property is given; it is pointed out that there are no manifolds of lower dimension with this property.
Publié le : 2005-07-16
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C27,57R15 
@article{0507340,
     author = {Bobienski, Marcin and Trautman, Andrzej},
     title = {$Pin^c$ and Lipschitz structures on products of manifolds},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507340}
}

Bobienski, Marcin; Trautman, Andrzej. $Pin^c$ and Lipschitz structures on products of manifolds. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507340/