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On meromorphic functions with maximal defect sum

100%

Thoan P., Tung L.

Annales Polonici Mathematici

2011

tom 100

nr 2

115-125

The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.

Ramification of the Gauss map of complete minimal surfaces in $ℝ^{m}$ on annular ends

81%

Dethloff G., Ha P., Thoan P.

Colloquium Mathematicum

2016

tom 142

nr 2

149-167

We study the ramification of the Gauss map of complete minimal surfaces in $ℝ^{m}$ on annular ends. This is a continuation of previous work of Dethloff-Ha (2014), which we extend here to targets of higher dimension.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Thoan P.

1 Dethloff G.

1 Ha P.

1 Tung L.

1 2016

1 2011

Wyniki wyszukiwania

On meromorphic functions with maximal defect sum

Ramification of the Gauss map of complete minimal surfaces in $ℝ^{m}$ on annular ends