Bridge principle for constant and positive Gauss curvature surfaces
Hauswirth, Laurent
HAL, hal-00795392 / Harvested from HAL
We apply Schauder fixed point theorem and gluing method to construct positive constant Gauss curvature K surfaces. Let S_1 and S_2, two stable K surfaces and a path \gamma connecting the two surfaces, we can find a new K surface arbitrarly close two S_1US_2U\gamma.
Publié le : 1999-07-05
Classification:  Constant Gaussian Curvature-Gluing Method,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00795392,
     author = {Hauswirth, Laurent},
     title = {Bridge principle for constant and positive Gauss curvature surfaces},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00795392}
}
Hauswirth, Laurent. Bridge principle for constant and positive Gauss curvature surfaces. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00795392/