Geodesic
On quasiconformally flat surfaces in Riemannian manifolds
Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 931-953

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish two properties of $K$-quasiconformally flat hypersurfaces in general Riemannian manifolds. The first is stated in isoperimetric terms and the second in terms of the main frequency of sections of the manifold by geodesic spheres. The two conditions coincide in the two-dimensional case. 
@article{IM2_2003_67_5_a3,
     author = {V. M. Miklyukov},
     title = {On quasiconformally flat surfaces in {Riemannian} manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {931--953},
     publisher = {mathdoc},
     volume = {67},
     number = {5},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a3/}
}
TY  - JOUR
AU  - V. M. Miklyukov
TI  - On quasiconformally flat surfaces in Riemannian manifolds
JO  - Izvestiya. Mathematics 
PY  - 2003
SP  - 931
EP  - 953
VL  - 67
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a3/
LA  - en
ID  - IM2_2003_67_5_a3
ER  - 
%0 Journal Article
%A V. M. Miklyukov
%T On quasiconformally flat surfaces in Riemannian manifolds
%J Izvestiya. Mathematics 
%D 2003
%P 931-953
%V 67
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a3/
%G en
%F IM2_2003_67_5_a3
V. M. Miklyukov. On quasiconformally flat surfaces in Riemannian manifolds. Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 931-953. http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a3/