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pro vyhledávání: '"Mir, Chady El"'
Autor:
Mir, Chady El, Lafontaine, Jacques
We give a characterisation of Bieberbach manifolds which are geodesic boundaries of a compact flat manifold, and discuss the low dimensional cases, up to dimension 4.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1710.02753
Autor:
Mir, Chady El, Yassine, Zeina
We prove three optimal conformal geometric inequalities of Blatter type on the Klein bottle. These inequalities provide conformal lower bounds of the volume and involve lengths of homotopy classes of curves that are candidates to realize the systole.
Externí odkaz:
http://arxiv.org/abs/1209.6202
Autor:
Mir, Chady El
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds satisfy an isosystolic inequality by a general and fundamental result of M. Gromov. In dimension 3, there exist four classes of non-orientable Bieber
Externí odkaz:
http://arxiv.org/abs/1007.0877