Elliptic Sectors in Surface Theory and the Carathéodory–Loewner Conjectures

Lazarovici, Laurenţiu

J. Differential Geom., Tome 55 (2000) no. 3, p. 453-473 / Harvested from Project Euclid

Résumé

We identify a distinguished hyperbolic partial differential equation of importance in the study of principal foliations. We apply Riemann's method to obtain an obstruction to the occurrence of elliptic sectors in principal foliations on surfaces and as a consequence we obtain the first global result on the Carathéodory conjecture.

Publié le : 2000-07-14
Classification:

@article{1090341261,
     author = {Lazarovici, Lauren\c tiu},
     title = {Elliptic Sectors in Surface Theory and the Carath\'eodory--Loewner Conjectures},
     journal = {J. Differential Geom.},
     volume = {55},
     number = {3},
     year = {2000},
     pages = { 453-473},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090341261}
}

Lazarovici, Laurenţiu. Elliptic Sectors in Surface Theory and the Carathéodory–Loewner Conjectures. J. Differential Geom., Tome 55 (2000) no. 3, pp.  453-473. http://gdmltest.u-ga.fr/item/1090341261/