Parabolicity, projective volume and finiteness of total curvature of minimal surfaces
Atsuji, Atsushi
Kodai Math. J., Tome 27 (2004) no. 1, p. 227-236 / Harvested from Project Euclid
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We show that finiteness of a projective volume implies finiteness of total curvature for stochastic complete minimal surfaces with finite number of ends and finite genus which may not be geodesically complete. The tools we use include simple stochastic calculus and Nevanlinna theoretic method.
Publié le : 2004-10-14
Classification:  
@article{1104247348,
     author = {Atsuji, Atsushi},
     title = {Parabolicity, projective volume and finiteness of total curvature of minimal surfaces},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 227-236},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104247348}
}

Atsuji, Atsushi. Parabolicity, projective volume and finiteness of total curvature of minimal surfaces. Kodai Math. J., Tome 27 (2004) no. 1, pp.  227-236. http://gdmltest.u-ga.fr/item/1104247348/