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Gauss maps of nearly minimal surfaces

 

作者: Joji Kajiwara,   Lin Li,   Fumitoshi Sakanishi,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 26, issue 4  

页码: 353-357

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814796

 

出版商: Gordon and Breach Science Publishers

 

关键词: 53A10;30C60;30A10

 

数据来源: Taylor

 

摘要:

LetMbe a minimal surfaceGbe its Gauss map, andbe aC1-mapping. When the first derivatives ofFare close to those ofGso as to satisfy some inequalities with a constantC, we prove thatFis 1/(1-2C)-quasiconformal. We also prove that the Gauss map of a 2-dimensional manifold immersed inis quasiconformal when its mean curvature vectorHsatisfies |H|2≤-CRfor the Gaussian curvatureR.

 

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